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个人信息Personal Information
教授
博士生导师
硕士生导师
任职 : 工业装备结构分析优化与CAE软件全国重点实验室主任、结构优化理论与应用国际联合研究中心主任
性别：男
毕业院校：大连理工大学
学位：博士
所在单位：力学与航空航天学院
学科：工程力学. 计算力学. 结构工程. 车辆工程
办公地点：力学楼302
联系方式：0411-84707267 ligang@dlut.edu.cn
电子邮箱：ligang@dlut.edu.cn
Hamiltonian system-based analytic modeling of the free rectangular thin plates' free vibration
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论文类型：期刊论文
发表时间：2016-01-15
发表刊物：APPLIED MATHEMATICAL MODELLING
收录刊物：SCIE、EI
卷号：40
期号：2
页面范围：984-992
ISSN号：0307-904X
关键字：Rectangular thin plate; Free vibration; Hamiltonian system; Symplectic superposition method
摘要：Analytic free vibration solutions of free rectangular thin plates with or without an elastic foundation are obtained by using an up-to-date Hamiltonian system-based symplectic superposition method. Such boundary value problems are known to be very difficult and they were generally solved by the approximate/numerical methods. The present analytic solutions are expected to be the benchmarks for future verification of other methods. The advantage of the method is that the solution procedure is conducted in the symplectic space, where the symplectic eigen expansion is valid and the predetermination of the solution form is avoided. This significantly extends the approach to the analytic solutions of similar problems. (C) 2015 Elsevier Inc. All rights reserved.