{"id":973,"date":"2020-06-11T14:59:21","date_gmt":"2020-06-11T06:59:21","guid":{"rendered":"https:\/\/www.fst.um.edu.mo\/personal\/?page_id=973"},"modified":"2024-11-08T17:42:04","modified_gmt":"2024-11-08T09:42:04","slug":"gker","status":"publish","type":"page","link":"https:\/\/www.fst.um.edu.mo\/personal\/gker\/","title":{"rendered":"Guokang ER"},"content":{"rendered":"\t\t
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<\/td>Guokang ER\u9102\u570b\u5eb7
Associate Professor<\/td><\/tr><\/tbody><\/table>

Academic Qualifications<\/h3>
  • Postdoc Research Fellow, Shanghai University of Technology, University of Alberta.<\/li>
  • Ph.D. in Civil Engineering, Southwest Jiaotong University.<\/li>
  • M.Sc. in Civil Engineering, Southwest Jiaotong University.<\/li>
  • B.Sc. in Civil Engineering, Zhengzhou Institute of Technology.<\/li><\/ul>

    Award and Honor<\/h3>
    1. Best Recipient of Teaching Excellence Award\u20192018\/2019 of the Faculty of Science and Technology at University of Macau.\u00a0<\/li>
    2. The 2nd<\/sup> Prize of Natural Science Award\u20192018, awarded by the Government of Macau SAR.\u00a0\u00a0\u00a0\u897f\u6c5f\u6708<\/span><\/u>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>\u6b63\u88c5\u9f50\u7a7f\u5728\u8eab\uff0c\u51ef\u6b4c\u594f\u54cd\u4f1a\u5802\u3002\u7f13\u6b65\u8d70\u5411\u53f0\u4e2d\u592e\u3002\u4e09\u5341\u4f59\u8f7d\u6f2b\u957f\u3002<\/span><\/span>\u9886\u5956\u4e4b\u65f6\u5e73\u9759\uff0c\u7834\u9898\u90a3\u523b\u6fc0\u8361\u3002\u672a\u66fe\u5962\u671b\u4e00\u8f89\u714c\u3002\u63d2\u66f2\u8ffd\u5bfb\u8def\u4e0a\u3002<\/span><\/span>\u00a0\u00a0\u00a0<\/span><\/li>
    3. Golden Award (poem) in the 4th<\/sup> Joint National Competition on Poem and Prose\u20192018.\u00a0 \u00a0 \u897f\u6c5f\u6708<\/span><\/u>\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b>\u659c\u4f69\u5927\u7ea2\u9526\u5e26\uff0c\u8eab\u7a7f\u672c\u571f\u670d\u88c5\u3002\u7389\u76d8\u7f8e\u9152\u916c\u534e\u7ae0\u3002\u8fd8\u770b\u5929\u6daf\u98ce\u5149\u3002<\/span><\/b>\u56db\u6d77\u653e\u98de\u8bd7\u6587\uff0c\u516b\u65b9\u6c47\u805a\u4e00\u5802\u3002\u70ed\u6d6a\u76f4\u4e0b\u5316\u8877\u80a0\u3002\u9178\u751c\u82e6\u8fa3\u904d\u5c1d\u3002<\/span><\/b>\u00a0<\/span>\u00a0<\/li>
    4. Champion in the 10th<\/sup> Inter-University Invitational Civil Engineering Competition in Asia and Australia region (26-30\/06\/2018), Macau, China. (academic advisor and team leader of UM team)\u00a0 \u00a0\u5357\u4e61\u5b50<\/span><\/u>\u00a0\u00a0\u00a0 \u00a0\u00a0<\/span>\u7af9\u6728\u6210\u8f7b\u6865\uff0c\u5de7\u593a\u5929\u5de5\u4eba\u95f4\u9053\u3002\u4e0d\u8d1f\u4f17\u671b\u627f\u4e07\u8f7d\u3002\u53ef\u9760\uff0c\u4efb\u51ed\u98ce\u96e8\u4efb\u5730\u6447\u3002\u5947\u601d\u8fd9\u72ec\u597d\uff0c\u4fee\u8f9e\u96be\u8fbe\u4e2a\u4e2d\u5999\u3002\u4e00\u901a\u65ad\u65ad\u8def\u5343\u91cc\u3002\u8fdc\u773a\uff0c\u5929\u8fb9\u98ce\u5149\u8c01\u77e5\u6653<\/span>\uff1f<\/span><\/b>\u00a0\u00a0<\/li>
    5. The 3rd<\/sup> prize in the 11th<\/sup> National Structural Competition of University Students (18-22\/10\/2017), Wuhan, China. (academic advisor of UM team)<\/li>
    6. The 2nd<\/sup> prize in the 10th<\/sup> National Structural Competition of University Students (12-16\/10\/2016), Tianjin, China. (academic advisor of UM team)<\/li>
    7. The 3rd<\/sup> place and 2nd<\/sup> prize in the 9th<\/sup> Inter-University Invitational Civil Engineering Competition in Asia and Australia region (10-15\/07\/2016), Shanghai, China. (academic advisor and team leader of UM team)\u00a0<\/li>
    8. The 1st<\/sup> runner-up prize in the Joint Institutions Anti-Earthquake Model Design Cup’2016 organized by Hong Kong Institution of Engineers (HKIE) (10-11\/06\/2016), Hong Kong, China. (academic advisor of UM team)<\/li>
    9. The 3rd<\/sup> prize in the 6th<\/sup> National Structural Competition of University Students (24-28\/10\/2012), Chongqing, China. (academic advisor of UM team)<\/li>
    10. The 3rd<\/sup> place and 2nd<\/sup> prize in the 7th<\/sup> Inter-University Invitational Civil Engineering Competition in Asia and Australia region (27-30\/05\/2012), Kuala Lumpur, Malaysia. (academic advisor of UM team)<\/li>
    11. Academic Staff Award, University of Macau, 2011.<\/li>
    12. The 3rd<\/sup> prize in the Anthem Lyric Material Contest for UM\u2019s school anthem, University of Macau, 2011.<\/li>
    13. The 3rd<\/sup> prize in the 5th<\/sup> Inter-University Invitational Civil Engineering Competition in Asia and Australia region (26-30\/01\/2008), Shanghai, China. (academic advisor of UM team)<\/li><\/ol>

      Teaching<\/h3>

      B.Sc. Courses<\/h4>
      1. Mechanics I (CIVL110)<\/li>
      2. Strength of Materials I (CIVL215)<\/li>
      3. Strength of Materials II (CIVL220)<\/li>
      4. Surveying (CIVL360)<\/li>
      5. Structures II (CIVL316)<\/li>
      6. Structures III (CIVL413)<\/li>
      7. Structural System Analysis and Design (CIVL458)<\/li>
      8. Mathematics for Civil Engineering (CEEB221, CIVL2004)<\/li>
      9. Advanced Mechanics of Materials (CEEB450, CIVL4004)<\/li><\/ol>

        M.Sc. Courses<\/h4>
        1. Theory of Elasticity and Plasticity (IMSC002)<\/li>
        2. Structural Vibrations (IMSC010)<\/li>
        3. Plates and Shells (IMSC011)<\/li>
        4. Structural Analysis and Finite Element (IMSC012)<\/li>
        5. Random Vibrations of Structures (IMSC016)<\/li>
        6. Reliability Analysis in Civil Engineering (IMSC028)<\/li>
        7. Advanced Mathematics (CIEE701, CIVL7001)<\/li><\/ol>

          Graduate and Undergraduate Student Supervision<\/h4>
          1. Three PhD students completed. All of them were employed by the top universities of Mainland China as faculty members.<\/li>
          2. Eighteen master students completed.<\/li>
          3. Six undergraduate students got the Best FYP Department Awards and two undergraduate students got the ASCE (Hong Kong Branch) Best FYP Awards.<\/li><\/ol>

            Research<\/h3>

            Research Interests<\/h4>
            1. Nonlinear dynamics and stochastic dynamics<\/li>
            2. Structural vibrations under wind or earthquake<\/li>
            3. Stochastic finite element analysis of structures<\/li>
            4. Structural reliability analysis<\/li>
            5. Flexural-torsional buckling of structures<\/li>
            6. Software development in civil engineering and engineering mechanics<\/li><\/ol>

              Main Academic Contributions<\/h4>
              1. Proposed the exponential-polynomial-closure (EPC) method for solving low (1-4) dimensional Fokker-Planck-Kolmogorov equations.<\/li>
              2. Proposed the state-space-splitting (SSS) method for reducing the dimension of high-dimensional Fokker-Planck-Kolmogorov equations or high-dimensional nonlinear stochastic dynamical systems.<\/li>
              3. Proposed the parameter-splitting-perturbation method for analyzing strongly nonlinear dynamical systems.<\/li>
              4. Formulated the topological variation theory for the numerical solutions of operator equations.

                \u00a0<\/p><\/li><\/ol>

                Recent Research Projects<\/h4>
                1. \u201cStudy on the vibrations and random vibrations of cable-moored offshore structures\u201d funded by the Research Committee of the University of Macau, 01\/01\/2019-31\/12\/2021, principal investigator. (Grant No. MYRG2018-00116-FST)<\/li>
                2. \u201cInvestigation on the probabilistic solutions of random vibrations of geometrically nonlinear truss structures\u201d funded by the Science and Technology Development Fund of Macau, 15\/08\/2017-15\/08\/2020, principal investigator. (Grant No. 042\/2017\/A1)<\/li>
                3. \u201cInvestigation on the nonlinear random vibrations of cable structures\u201d, funded by the Research Committee of the University of Macau, 01\/04\/2015-31\/03\/2017, principal investigator. (Grant No. MYRG2014-00084-FST)<\/li>
                4. \u201cInvestigation on the nonlinear random vibrations of plates with moderately large deflection\u201d, funded by the Science and Technology Development Fund of Macau, 01\/05\/2013-30\/04\/2016, principal investigator. (Grant No. 043\/2013\/A)<\/li>
                5. \u201cThe applications of state-space-split-EPC method in analyzing the probabilistic solutions of some MDOF nonlinear stochastic dynamical systems\u201d, funded by the Research Committee of the University of Macau, 01\/06\/2011-01\/05\/2014, principal investigator. (Grant No. MYRG138-FST11-EGK)<\/li>
                6. \u201cInvestigation on the application of EPC method to some nonlinear stochastic dynamical systems\u201d, funded by the Research Committee of the University of Macau, 01\/10\/2006-31\/12\/2009, principal investigator. (Grant No. RG062\/05-06S\/08T\/EGK\/FST)<\/li><\/ol>

                  Software Products<\/h4>
                  1. Room for analyzing nonlinear stochastic dynamical systems (RANSDS)<\/li>
                  2. 3D structural analysis station (3D-SAS)<\/li>
                  3. Simulation and animation of surface mining operating systems<\/li><\/ol>

                    Publications<\/h3>

                    Book\/Chapter Contributions<\/h4>
                    1. Er, G. K.<\/strong>, Iu, V. P., Wang, K., and Du, H. N. (2019). Probabilistic solutions of the stretched beam systems formulated by finite difference scheme and excited by Gaussian white noise, IUTAM Symposium on Intelligent Multibody Systems – Dynamics, Control, Simulation, Sozopol, Bulgaria, September 11-15, 2017, IUTAM book series 33 (2019), Springer, 99-114.<\/li>
                    2. Er, G. K.<\/strong> and Iu, V. P. (2015). The probabilistic solutions of the plate with simple-supported and stretched boundary and uniform load being Gaussian white noise, IUTAM Symposium on Dynamical Analysis of Multibody Systems with Design Uncertainty, Stuttgart, Germany, June 10-13, 2014,\u00a0 Procedia IUTAM 13\u00a0 (2015), Elsevier, 24-33.<\/li>
                    3. Er, G. K.<\/strong> and Iu, V. P. (2014). The probabilistic solutions of the cantilever excited by lateral and axial excitations being Gaussian white noise, IUTAM Symposium on Multiscale Modeling and Uncertainty Quantification of Materials and Structures, Santorini, Greece, September 9-11, 2013. IUTAM book series (2014), Springer, 257-270.<\/li>
                    4. Er, G. K.<\/strong> (2013). The probabilistic solutions of some nonlinear stretched beams excited by filtered white noise. IUTAM Symposium on Multiscale Problems in Stochastic Mechanics, Karlsruher, Germany, June 25-28, 2012, Procedia IUTAM 6 (2013), Elsevier, 141-150.<\/li>
                    5. Er, G. K.<\/strong> and Iu, V. P. (2011). A new method for the probabilistic solutions of large-scale nonlinear stochastic dynamic systems. IUTAM Symposium on Nonlinear Stochastic Dynamics and Control, Hangzhou, China, May 9-14, 2010, IUTAM book series, Vol. 29, Springer, 25-34.<\/li>
                    6. Er, G. K.<\/strong> and Iu, V. P. (2000). A consistent and effective method for nonlinear random oscillations of MDOF systems, IUTAM Symposium on Recent Developments in Nonlinear Oscillations of Mechanical Systems, IUTAM book series, Kluwer Academic Publishers, 85-94.<\/li><\/ol>

                      SCI, SCIE and EI Journal Papers:<\/h4>
                      1. Wang, K., Er, G. K.<\/strong>, Iu, V. P. (2019). Nonlinear random vibrations of 3D cable-moored floating structures under seismic and wave excitations, Journal of Sound and Vibration<\/em>, 452<\/strong>, 58-81. (SCI & SCIE)<\/li>
                      2. Du, H. E., Er, G. K.<\/strong>, Iu, V. P. (2019). Parameter-splitting method for the improved solutions to strongly nonlinear systems. Nonlinear Dynamics<\/em>, 96<\/strong>(3), 1847-1863. (SCI & SCIE)<\/li>
                      3. Wang, K., Er, G. K.<\/strong>, Iu, V. P. (2019). Nonlinear random vibrations of moored floating structures under seismic and sea wave excitations. Marine Structures<\/em>, 65<\/strong>, 75-93. (SCIE)<\/li>
                      4. Wang, K., Er, G. K.<\/strong>, Iu, V. P. (2018). Seismic analysis of nonlinear offshore moored floating structures. Advances in Structural Engineering<\/em>, 21<\/strong>(9), 1361\u20131375. (SCI)<\/li>
                      5. Du, H. E., Er, G. K.<\/strong>, Iu, V. P. (2018). A novel method to improve the multiple-scales solutions of the forced vibrations of nonlinear oscillators. International Journal of Computational Methods<\/em>, 15<\/strong>(3), 1843010 (17 pages). (SCIE)<\/li>
                      6. Wang, K., Er, G. K.<\/strong>, Iu, V. P. (2018). Nonlinear vibrations of the offshore floating structures moored by cables. Ocean Engineering<\/em>, 156<\/strong>, 479-488. (SCI)<\/li>
                      7. Wang, K., Er, G. K.<\/strong>, Iu, V. P. (2018). Nonlinear Dynamical Analysis of Moored Floating structures. International Journal of Non-Linear Mechanics<\/em>, 98<\/strong>, 189-197. (SCI)<\/li>
                      8. Er, G. K.<\/strong>, Wang, K. and Iu, V. P. (2018). Probabilistic solutions of the in-plane nonlinear random vibrations of shallow cable under filtered Gaussian white noises. International Journal of Structural Stability and Dynamics<\/em>, 18<\/strong>(4), 1850062 (15 pages) (SCIE)<\/li>
                      9. Er, G. K.<\/strong>, Iu, V. P. (2017). Probabilistic solutions of simply-supported nonlinear plate excited by Gaussian white noise fully correlated in space. International Journal of Structural Stability and Dynamics<\/em>, 17<\/strong>(9), 1750097 (18 pages) (SCIE)<\/li>
                      10. Er, G. K.<\/strong>, Iu, V. P., Wang, K. and Guo, S. S. (2016). Stationary probabilistic solutions of the cables with small sag and modeled as MDOF systems excited by Gaussian white noises. Nonlinear Dynamics,<\/em> 85<\/strong>(3), 1887-1899. (SCI & SCIE)<\/li>
                      11. Guo, S. S., Er, G. K.<\/strong>, and Lam, C. C. (2014). Probabilistic solutions of nonlinear oscillators excited by correlated external and velocity parametric Gaussian white noises. Nonlinear Dynamics,<\/em> 77<\/strong>, 597-604. (SCI & SCIE)<\/li>
                      12. Er, G. K.<\/strong> (2014). Probabilistic solutions of some multi-degree-of-freedom nonlinear stochastic dynamical systems excited by filtered Gaussian white noise, Computer Physics Communications<\/em>, 185<\/strong>(4), 1217-1222. (SCI)<\/li>
                      13. Er, G. K.<\/strong> and Tang, Z. (2013). Analysis of the power spectrum of seismic ground acceleration and an improved Kanai-Tajimi model, \u56fa\u4f53\u529b\u5b66\u5b66\u62a5, (Chinese Journal of Solid Mechanics<\/em><\/strong>), 33<\/strong>(S), 123-126. (EI)<\/li>
                      14. Guo, S. S. and Er, G. K.<\/strong> (2013). Effect of even nonlinearity of displacement on the PDF solutions of stochastic oscillators under Poisson excitation, \u56fa\u4f53\u529b\u5b66\u5b66\u62a5, (Chinese Journal of Solid Mechanics<\/em><\/strong>), 33<\/strong>(S), 113-116. (EI)<\/li>
                      15. Er, G. K. <\/strong>and Iu, V. P., (2012). State-space-split method for some generalized Fokker-Planck-Kolmogorov equations in high dimensions, Physical Review E<\/em>, 85<\/strong>(6), 067701, DOI: 10.1103\/PhysRevE.85.067701. (SCIE)<\/li>
                      16. Er, G. K.<\/strong> and Iu, V. P. (2012). Subspace method for analyzing large-scale nonlinear stochastic dynamic systems with polynomial type of nonlinearities, Int. J. Computational Methods<\/em>, 9<\/strong>(1), 1240017, DOI: 10.1142\/S0219876212400178. (SCIE)<\/li>
                      17. Zhu, H. T., Er, G. K.,<\/strong> Iu, V. P. and Kou, K. P., (2012). Exponential-polynomial closure method for solving truncated Kolmogorov-Feller equation, Int. J. Computational Methods<\/em>, 9<\/strong>(1), 1240018, DOI: 10.1142\/S021987621240018X. (SCIE)<\/li>
                      18. Zhu, H. T., Er, G. K.,<\/strong> Iu, V. P. and Kou, K. P., (2012) Responses of nonlinear oscillators excited by nonzero-mean parametric Poisson impulse on displacement, ASCE J. Engineering Mechanics<\/em>, 138<\/strong>(5), 450-457. (SCIE)<\/li>
                      19. Guo, S. S. and Er, G. K.<\/strong> (2012). The probabilistic solution of stochastic oscillators with even nonlinearity under Poisson excitation, Central European Journal of Physics<\/em>, 10<\/strong>(3), 702-707, DOI: 10.2478\/s11534-012-0062-7. (SCIE)<\/li>
                      20. Er, G. K.<\/strong>, Guo, S. S. and Iu, V. P., (2012). Probabilistic solutions of stochastic oscillators with even nonlinearity in displacement, ASME J. Vibration and Acoustics<\/em>, 134<\/strong>, 054501-1-3. (SCIE)<\/li>
                      21. Er, G. K.<\/strong> and Guo, S. S. (2011). \u5e26\u4f4d\u79fb\u5076\u6b21\u65b9\u9879\u975e\u7ebf\u6027\u968f\u673a\u632f\u5b50\u5728\u4f4d\u79fb\u53c2\u6570\u6fc0\u52b1\u4e0b\u7684\u6982\u7387\u89e3(The probabilistic solutions of the oscillators with even nonlinearity and parametric excitations on displacement), \u56fa\u4f53\u529b\u5b66\u5b66\u62a5 (Chinese Journal of Solid Mechanics<\/em><\/strong>), 32<\/strong>(S), 265-268. (EI)<\/li>
                      22. Er, G. K.<\/strong> and Iu, V. P., (2011). The approximate solutions of FPK equations in high dimensions for some nonlinear stochastic dynamic systems, Communications in Computational Physics<\/em>, 10<\/strong>(5), 1241-1256, doi: 10.4208\/cicp.140710.210111a. (SCIE)<\/li>
                      23. Er, G. K.<\/strong> and Iu, V. P., (2011). Analysis of some large-scale nonlinear stochastic dynamic systems with subspace-EPC method, Science China: Physics, Mechanics & Astronomy<\/em>, 54<\/strong>(9), 1631-1637, DOI: 10.1007\/s11433-011-4443-5. (SCI & SCIE)<\/li>
                      24. Er, G. K.,<\/strong> Zhu, H. T., Iu, V. P. and Kou, K. P. (2011). PDF solution to nonlinear ship roll motion excited by external Poisson white noise, Science China: Technological Sciences<\/em>, 54<\/strong>(5), 1121-1125, doi: 10.1007\/s11431-011-4342-z. (SCI & SCIE)<\/li>
                      25. Zhu, H. T., Er, G. K.<\/strong>, Iu, V. P. and Kou, K. P. (2011). Probabilistic solutions of nonlinear oscillators excited by combined Gaussian and Poisson white noises, J. Sound and Vibration, <\/em>330<\/strong>, 2900\u20132909, doi:10.1016\/j.jsv.2011.01.005. (SCI & SCIE)<\/li>
                      26. Er, G. K.<\/strong>, (2011). Methodology for the solutions of some reduced Fokker-Planck equations in high dimensions. Annalen der Physik<\/em>, 523<\/strong>(3), 247-258, DOI: 10.1002\/andp.201010465. (SCI & SCIE)<\/li>
                      27. Er, G. K.<\/strong> and Iu, V. P. (2010), \u6c42\u5927\u89c4\u6a21\u975e\u7ebf\u6027\u968f\u673a\u52a8\u529b\u7cfb\u7edf\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u89e3\u7684\u5b50\u7a7a\u95f4\u6cd5(Subspace method for the PDF solutions of large nonlinear stochastic dynamic systems),\u00a0 \u56fa\u4f53\u529b\u5b66\u5b66\u62a5 (Chinese Journal of Solid Mechanics<\/em><\/strong>), 31<\/strong>, 164-170. (EI)<\/li>
                      28. Er, G. K.<\/strong>, Zhu, H. T., Iu, V. P. and Kou, K. P. (2010). Nonzero mean PDF solution of nonlinear oscillators under external Gaussian white noise. Nonlinear Dynamics<\/em>, 62<\/strong>, 743-750, DOI 10.1007\/s11071-010-9758-7. (SCI & SCIE)<\/li>
                      29. Zhu, H. T., Er, G. K.<\/strong>, Iu, V. P. and Kou, K. P. (2010). PDF solutions of nonlinear oscillators subjected to multiplicative Poisson pulse excitation on velocity. ASME J. of Applied Mechanics,<\/em> 77<\/strong>(3), 1-7. (SCIE)<\/li>
                      30. Zhu, H. T., Er, G. K.<\/strong>, Iu, V. P. and Kou, K. P. (2009). EPC procedure for the PDF solution of nonlinear oscillators excited by Poisson white noise. Int. J. Non-linear Mechanics<\/em> 44<\/strong>(3), 304-310. (SCI)<\/li>
                      31. Er, G. K.<\/strong>, Zhu, H. T., Iu, V. P. and Kou, K. P. (2009). PDF solution of nonlinear oscillators subject to multiplicative Poisson pulse excitation on displacement. Nonlinear Dynamics<\/em>, 55<\/strong>(4), 337-348. (SCI & SCIE)<\/li>
                      32. Er, G. K.<\/strong>, Zhu, H. T., Iu, V. P. and Kou, K. P. (2008). PDF solution of nonlinear oscillators under external and parametric Poisson impulses, American Institute of Aeronautics and Astronautics (<\/em>AIAA) Journal, <\/em>46<\/strong>(11), 2839-2847. (SCI)<\/li>
                      33. Er, G. K.<\/strong> (2000). The probabilistic solution to non-linear random vibrations of multi-degree-of-freedom systems, ASME J. Applied Mechanics<\/em>, 67<\/strong>(2), 355-359. (SCIE)<\/li>
                      34. Er, G. K.<\/strong> and Iu, V. P. (2000). Stochastic response of base-excited Coulomb oscillator, J. Sound and Vibration<\/em>, 233<\/strong>(1), 81-92. (SCI & SCIE)<\/li>
                      35. Er, G. K.<\/strong>\u00a0 (2000). Exponential closure method for randomly excited nonlinear systems, Int. J. Nonlinear Mechanics<\/em>, 35<\/strong>(1), 69-78. (SCI)<\/li>
                      36. Er, G. K.<\/strong> and Iu, V. P. (1999). Probabilistic solutions to nonlinear random ship roll motion, ASCE J. Engineering Mechanics<\/em>, 125<\/strong>(5), 570-574. (SCIE)<\/li>
                      37. Er, G. K.<\/strong> (1999). Consistent method for the solutions of random oscillators, ASCE J. Engineering Mechanics<\/em>, 125<\/strong>(4), 443-447. (SCIE)<\/li>
                      38. Er, G. K.<\/strong> (1999). A consistent method for the solutions to reduced FPK equations in statistical mechanics, Physica A<\/em>, 262<\/strong>, 118-128. (SCI)<\/li>
                      39. Er, G. K.<\/strong> (1998). An improved closure method for analysis of nonlinear stochastic systems, Nonlinear Dynamics<\/em>, 17<\/strong>(3), 285-297. (SCI & SCIE)<\/li>
                      40. Er, G. K.<\/strong> (1998). A method for multi-parameter PDF estimation of random variables, Structural Safety<\/em>, 20<\/strong>(1), 25-36. (SCI)<\/li>
                      41. Er, G. K.<\/strong> (1998). Multi-Gaussian closure method for randomly excited non-linear systems, Int. J. Nonlinear Mechanics<\/em>, 33<\/strong>(2), 201-214. (SCI)<\/li>
                      42. Er, G. K.<\/strong> (1997). Crossing rate analysis with a nonGaussian closure method for nonlinear stochastic systems, Nonlinear Dynamics<\/em>, 14<\/strong>(3), 279-291. (SCI & SCIE)<\/li>
                      43. Er, G. K.<\/strong> (1997). Modification on the theory of flexural-torsional buckling of structures, J. Applied Mathematics and Mechanics<\/em>, 18<\/strong>(10), 975-986. (SCIE)<\/li><\/ol>

                        Invited Plenary Lectures, Seminar Talks, Keynote Lectures and Invited Talks:<\/h4>
                        1. Invited lecture entitled\u00a0 \u201cResearch progress, software development and applications in the nonlinear random vibrations of large systems\u201d, 2023 Silk Road International Industry-University-Research-Application Cooperation Conference on the Green Development of Cities, organized by the Education Ministry of China, December 12-15, 2023, Xi’an, China.\u00a0<\/li>
                        2. Invited lecture entitled “SSS-EPC method and its applications for the nonlinear random vibrations of MDOF systems”, International Summer School jointly organized by the Solid Mechanics Committee of Mechanics Society of China and the Faculty of\u00a0 Astronautics at Harbin Institute of Technology, August 28, 2020, Harbin, China.<\/li>
                        3. \u00a0Invited lecture entitled “State-space-splitting and Exponential-polynomial-closure method and its applications in nonlinear random vibrations of structures\u201c, 2019 Asian Workshop on Theoretical and Applied Mechanics, August 24-27, 2019, Hangzhou, China.<\/li>
                        4. Invited plenary lecture entitled \u201cProbabilistic solutions of the stretched beam systems formulated by finite difference scheme and excited by Gaussian white noise”, IUTAM Symposium on Intelligent Multibody Systems – Dynamics, Control, Simulation, Sozopol, Bulgaria, September 11-15, 2017.<\/li>
                        5. Seminar talk entitled \u201cAdvances in the investigations on the nonlinear random vibrations of MDOF systems\u201d in the Institute of Civil Engineering, Tianjin University, June 10, 2015, Tianjin, China.<\/li>
                        6. Seminar talk entitled \u201cAdvances in the investigations on the nonlinear random vibrations of MDOF systems\u201d in the International Center of Applied Mechanics, Xi\u2019an Jiaotong University, June 2, 2014, Xi\u2019an, China.<\/li>
                        7. Invited plenary lecture entitled \u201cThe probabilistic solutions of the plate with simple-supported and stretched boundary and uniform load being Gaussian white noise\u201d in the IUTAM Symposium on Dynamical Analysis of Multibody systems with Design Uncertainty, June 10-13, 2014, Stuttgart, Germany.<\/li>
                        8. Invited plenary lecture entitled \u201cThe probabilistic solutions of the cantilever excited by lateral and axial excitations being Gaussian white noise\u201d in the IUTAM Symposium on Multiscale Modeling and Uncertainty Quantification of Materials and Structures, September 9-11, 2013, Santorini, Greece.<\/li>
                        9. Invited plenary lecture entitled \u201cThe probabilistic solutions of simply-supported plate with large deflection and excited by random excitation being Gaussian white noise\u201d in the The 4th International Conference on Nonlinear Dynamics, June 19-22, 2013, Sevastopol, Ukraine.<\/li>
                        10. Invited plenary lecture entitled \u201cThe probabilistic solutions of some nonlinear stretched beams excited by filtered white noise\u201d in the IUTAM Symposium on Multiscale Problems in Stochastic Mechanics, June 25-28, 2012, Karlsruher, Germany.<\/li>
                        11. Invited talk entitled \u201cThe probabilistic solution of the nonlinear multi-story shear frame excited by stochastic excitation with state-space-split-EPC method\u201d in The National Conference of Theoretical and Applied Mechanics of China, August 20-24, 2011, Harbin, China.<\/li>
                        12. Invited talk entitled \u201cAdvances in the probabilistic solutions of nonlinear random vibrations of MDOF systems\u201d in the Symposium Commemorate the 25th Anniversary of the EPMESC Conferences, April 4, 2011, Macau, China.<\/li>
                        13. Invited plenary lecture entitled \u201cThe probabilistic solutions of some MDOF nonlinear stochastic dynamic systems with state-space-split method\u201d in The First International Conference on Dynamical Systems and Modern Applied Mathematics, June 25-27, 2011, Xi\u2019an, China.<\/li>
                        14. Seminar talk entitled \u201cState-Space-Split method for the probabilistic solutions of some large nonlinear stochastic dynamic systems\u201d in the Department of Mathematics, University of Macau, July 6, 2011, Macau, China.<\/li>
                        15. Keynote lecture entitled \u201cSubspace method for the probability density function solutions of large nonlinear stochastic dynamic systems\u201d in the 8th National Conference on Computational Mechanics, August 20-36, 2010, Mianyang, China.<\/li>
                        16. Seminar talk entitled \u201cSubspace method for the probabilistic solutions of large-scale nonlinear stochastic dynamic systems\u201d in the Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, August 9, 2010, Shanghai, China.<\/li>
                        17. Invited plenary lecture entitled \u201cA new method for the probabilistic solutions of large-scale nonlinear stochastic dynamic systems\u201d in the IUTAM Symposium on Nonlinear Stochastic Dynamics and Control, May 9-14, 2010, Hangzhou, China.<\/li>
                        18. Invited plenary lecture entitled \u201cA consistent and effective method for nonlinear random oscillations of MDOF systems\u201d in the IUTAM Symposium on Recent Developments in Nonlinear Oscillations of Mechanical Systems, March 2-5, 1999. Hanoi, Vietnam.<\/li>
                        19. Keynote lecture entitled \u201cTopological variation theory on the numerical solutions of operator equations\u201d in the Second Symposium on Computational Mechanics of Sichuan Province, November, 1991, Chongqing, China.<\/li><\/ol>

                          Services<\/h3>

                          External Professional Services<\/h4>
                          1. Associate Editor of International Journal of Dynamics and Control, 01\/08\/2017 till now.<\/li>
                          2. Reviewer of the journals: Computational Physics, Physica A, Nonlinear Dynamics, Journal of Sound and Vibration, International Journal of Dynamics and Control, Advances in Structural Engineering, American Institute of Aeronautics and Astronautics Journal, Advances in Mechanical Engineering, International Journal of Structural Stability and Dynamics, International Journal of Computational Methods, Probabilistic Engineering Mechanics, Earthquake and Structures, International Journal of Computational Mathematics, Journal of Vibration Engineering and Technology, Applied Mathematics Modelling, International Journal of Mechanism and Machine Theory, International Journal of Mechanics and Materials in Design, etc.<\/li>
                          3. Session chair in European Nonlinear Oscillation Conference\u20192014, July 1-11, 2014, Vienna, Austria.<\/li>
                          4. Session chair in 4th<\/sup> International Conference on Nonlinear Dynamics, June 19-22, 2013, Sevastopol, Ukraine.<\/li>
                          5. Session chair in The National Conference of Theoretical and Applied Mechanics of China, August 20-24, 2011, Harbin, China.<\/li>
                          6. Session chair in the International Conference on Computational Methods, Nov. 15-17, 2010, Zhangjiajie, China.<\/li>
                          7. Session chair in The IUTAM Symposium on Nonlinear Stochastic Dynamics and Control, May 9-14, 2010, Hangzhou, China.<\/li>
                          8. Organizing committee member and reviewer of The 2nd<\/sup> International Symposium on Computational Mechanics (ISCM II) in conjunction with The 12th International Conference on the Enhancement and Promotion of Computational Methods in Engineering and Science (EPMESC XII), Dec., 2009, Macau, China.<\/li>
                          9. Session chair in The 10th<\/sup> International Conference on Structural Safety and Reliability (ICOSSAR 2009), Sept. 13-17, 2009, Osaka, Japan.<\/li>
                          10. \u201cHigh strain dynamic pile testing for the building of heavy truck parking lot at Taipa\u201d at Macau.<\/li>
                          11. \u201cLow strain dynamic pile testing and analysis for the building of Macau Water\u201d at Macau.<\/li>
                          12. \u201cParapet rehabilitation analysis and design of the bridge at gate\u201d at Macau.<\/li>
                          13. \u201cLow strain dynamic pile testing and analysis for the building of heavy truck parking lot at Taipa\u201d at Macau.<\/li>
                          14. \u201cParapet analysis and design of the bridge at the junction of Sun Yat-Sen road and Marciano Baptista road\u201d at Macau.<\/li>
                          15. \u201cHigh strain dynamic pile testing for the building of Ho Xian park\u201d at Macau.<\/li>
                          16. \u201cParapet rehabilitation analysis and design of Nanwan bridge\u201d at Macau.<\/li>
                          17. \u201cInspection and analysis on the pile testing with self-balance method for the building of heavy truck parking lot at Taipa\u201d at Macau.<\/li>
                          18. \u201cDesign, construction, and testing result checking with problem identification for a hotel building\u201d at Macau.<\/li>
                          19. \u201cParapet rehabilitation analysis and design of the bridge at Lisboa Hotel\u201d at Macau.<\/li>
                          20. \u201cParapet rehabilitation analysis and design of the bridge at Lisboa Hotel\u201d at Macau.<\/li>
                          21. \u201cLow strain and high strain dynamic pile testing and analysis for the building of Police Station at Taipa\u201d at Macau.<\/li>
                          22. \u201cParapet rehabilitation analysis and design of Ba Po Sha bridge\u201d at Macau.<\/li>
                          23. \u201cInspection of flyover bridges in Macau\u201d.<\/li>
                          24. \u201cCracking development in the wall of the building of Macau House Bureau\u201d.<\/li>
                          25. \u201cStructural dynamic behavior monitoring of the building for East Asian Games\u201d at Macau.<\/li>
                          26. \u201cParapet rehabilitation analysis and design of Song Shan bridge\u201d at Macau.<\/li>
                          27. \u201cStrength capacity testing of the building for China Mobile Inc. at Macau\u201d.<\/li>
                          28. \u201cAnalysis and design of Leshan flyover bridge\u201d, Sichuan, China.<\/li><\/ol>

                            Internal Services<\/h4>
                            1. Alternative member of Faculty AC Executive Committee, 01\/05\/2019-<\/li>
                            2. Member of Department Executive Committee, 04\/2013-<\/li>
                            3. Member of the Graduate Study Committee of FST, 09\/2011-12\/2012<\/li>
                            4. Member of the Department Advisory Committee, 05\/2011-<\/li>
                            5. Member of the PhD Thesis Advisory Committees for PhD students, 2010-<\/li>
                            6. Member of the PhD Examination Committees for PhD students, 2008-<\/li>
                            7. Member of the MSc Examination Committees and examiner for master students<\/li>
                            8. Member of the BSc Examination Committees and examiner for undergraduate students<\/li><\/ol>

                              Professional Affiliations<\/h3>