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个人信息Personal Information
教授
博士生导师
硕士生导师
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：固体力学. 工程力学. 计算力学
办公地点：海宇楼506
联系方式：Email：zhouzh@dlut.edu.cn
电子邮箱：zhouzh@dlut.edu.cn
Exact vibration analysis of a double-nanobeam-systems embedded in an elastic medium by a Hamiltonian-based method
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论文类型：期刊论文
发表时间：2018-05-01
发表刊物：PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES
收录刊物：SCIE、EI
卷号：99
页面范围：220-235
ISSN号：1386-9477
关键字：Natural frequency; Dynamic response; Double-nanobeam-systems; Symplectic method; Hamiltonian system
摘要：A new Hamiltonian-based approach is presented for finding exact solutions for transverse vibrations of double-nanobeam-systems embedded in an elastic medium. The continuum model is established within the frameworks of the symplectic methodology and the nonlocal Euler-Bernoulli and Timoshenko beam beams. The symplectic eigenfunctions are obtained after expressing the governing equations in a Hamiltonian form. Exact frequency equations, vibration modes and displacement amplitudes are obtained by using symplectic eigenfunctions and end conditions. Comparisons with previously published work are presented to illustrate the accuracy and reliability of the proposed method. The comprehensive results for arbitrary boundary conditions could serve as benchmark results for verifying numerically obtained solutions. In addition, a study on the difference between the nonlocal beam and the nonlocal plate is also included.