1004 Computational Symplectic Approach for Structural Dynamics

C.W. Lim, City University of Hong Kong
Zhenhuan Zhou, Dalian University of Technology
Weian Yao, Dalian University of Technology
Symplectic methodology was first introduced in 1939 by Hermann Weyl and for many years it was a field of research mainly by physicists and mathematicians. In the sixties and early seventies of the last century, a prominent scholar in applied mechanics, Professor K. Feng, applied the method to computational mechanics and very significant research works were published by this scholar. In the next twenties years, another prominent scholar, Professor W.X. Zhong further developed the method to applied mechanics and structures and many breakthroughs in analytical solutions for structures have been developed. A great deal of the symplectic approach is available in the book “Symplectic Elasticity” published by World Scientific, and another review article published in ASME Applied Mechanics Review in 2010. In the computational aspects, the symplectic approach ensures symplectic conservation such that numerical errors can be contained within a controlled limit to ensure rapid convergence and numerical accuracy. In elasticity and structural mechanics, the symplectic approach is have proved valid to yield many exact, analytical and/or asymptotic solutions that are by far unavailable, such as the many problems in bending, vibration and buckling of plates and shells.

Here in honor of these two prominent scholars who contributed significantly to the development of computational and analytical symplectic method in applied mechanics, we would like to organize a minisymposium at WCCM 2018 on this subject. Any research papers including but not limited to the following areas are welcome:
• symplectic computational methods in structural dynamics
• Analysis of beams, plates, shells and other structural systems using symplectic methods
• symplectic numerical integration research
• symplectic finite elements
• symplectic conservation analysis
• symplectic methods for nonlinear systems
• new applications of symplectic numerical and analytical methods
• any subjects related to theoretical and numerical symplectic elasticity