用户登录 | 旧网入口 | English
机械学院

彈性與壓電材料力學之哈密頓狀態空間解析模式

作者:   已浏览:次  更新日期:2017-11-17

彈性與壓電材料力學之哈密頓狀態空間解析模式
譚建國教授
报告时间:2017年11月24日下午1:30

报告地点:学院208会议室

A Hamiltonian State Space Approach to Elasticity and Piezoelasticity
Abstract
The conventional Lagrangian approach aims to eliminate the unknowns from the basic equations, resulting in coupled partial differential equations which are difficult to solve without further considerations. In this presentation we describe a state space formalism for anisotropic elasticity and piezoelasticity. On the basis of Hamiltonian mechanics by letting one of the spatial coordinates play the role of the time variable in the dynamic system, the basic equations of elasticity and piezoelasticity are formulated into a state equation and an output equation in which the generalized displacement vector and the conjugate generalized traction vector are dual variables. The symplectic characteristics of the Hamiltonian system provide an essential basis for the solution by means of separation of variables in conjunction with eigenfunction expansion. Many problems which would be intractable analytically become solvable in the state space setting.
In this presentation, the background of the state space approach is provided, followed by a comparison of the Lagrangian and Hamiltonian approaches of applied mechanics. On describing the Hamiltonian state space formalism, some unsolved problems of elasticity and piezoelasticity, which are solvable by the Hamiltonian state space approach are discussed.
譚建國教授 美國杜克大學博士(1976年), 是台灣成功大學土木工程系榮譽講座教授, 現為浙江大學土木工程系與工程力學系兼任教授, 講授彈性力學課程。

 
 
Copyright © 2013 机械工程与力学学院 All rights reserved
学院地址:浙江省宁波市江北区风华路818号宁波大学绣山工程楼
咨询电话:0574-87600302 传真:87608358