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论文类型：期刊论文

发表时间：2019-07-01

发表刊物：INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS

收录刊物：SCIE、EI

卷号：19

期号：7

ISSN号：0219-4554

关键字：Built-up nanobeam system; Hamiltonian mechanics; nonlocal finite element method; steady-state forced vibration; symplectic method

摘要：A novel size-dependent coupled symplectic and finite element method (FEM) is proposed to study the steady-state forced vibration of built-up nanobeam system resting on elastic foundations. The overall system is modeled as a combination of nonlocal Timoshenko beams. A new analytical subsystem modeling with formulation and another numerical subsystem modeling are developed and discussed. In the analytical subsystem model, the uniform nanobeams are modeled and solved by a new approach based on a series of analytical symplectic eigensolutions. The numerical subsystem model applies a nonlocal FEM to solve nonuniform nanobeams. Analytical and numerical solutions are presented, and a proper comparison between the two approaches is established. Comprehensive and accurate numerical result is subsequently presented to illustrate the accuracy and reliability of the coupled method. The new results established are expected to have reference values for future studies.