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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
A unified analytic solution approach to static bending and free vibration problems of rectangular thin plates
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论文类型：期刊论文
发表时间：2015-11-26
发表刊物：SCIENTIFIC REPORTS
收录刊物：SCIE、PubMed、Scopus
卷号：5
页面范围：17054
ISSN号：2045-2322
摘要：A unified analytic solution approach to both static bending and free vibration problems of rectangular thin plates is demonstrated in this paper, with focus on the application to corner-supported plates. The solution procedure is based on a novel symplectic superposition method, which transforms the problems into the Hamiltonian system and yields accurate enough results via step-by-step rigorous derivation. The main advantage of the developed approach is its wide applicability since no trial solutions are needed in the analysis, which is completely different from the other methods. Numerical examples for both static bending and free vibration plates are presented to validate the developed analytic solutions and to offer new numerical results. The approach is expected to serve as a benchmark analytic approach due to its effectiveness and accuracy.