The Hamiltonian System Method for a Cylinder under the Action of Gravity

2019 3rd International Workshop on Renewable Energy and Development

能源学;生态环境科学

Yan, Guifeng^1 ; Zhang, Weixiang^1^2

Nantong Polytechic College, Nantong, Jiangsu

226002, China^1

School of Civil and Environmental Engineering, Hunan University of Science and Engineering, Yongzhou, Hunan

425199, China^2

关键词: Axisymmetric problems;    Classical problems;    Eigenfunction expansions;    Fundamental solutions;    Hamiltonian systems;    Solution space;    Variable separation;    Various boundary conditions;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/267/4/042118/pdf
DOI  :  10.1088/1755-1315/267/4/042118

学科分类：环境科学（综合）

来源: IOP

【 摘 要 】

The classical problem of a viscoelastic circular cylinder under its own weight is analysed in the Hamiltonian system. On the basis of the theory of state space for axisymmetric problems and the application of dual variables of stresses, the technology of variable separation can be used. Hence the fundamental solutions, zero eigenfunctions and non-zero eigenfunctions, are derived. Because of the integrity of the solution space, various boundary conditions can be described by certain combinations general eigenfunctions. By using the adjoint symplectic relations, the eigenfunction expansion approach is applied to satisfying the boundary conditions.