On the parametric excitation of vertical elastic slender structures and the effect of damping in marine applications |
| |
| Institution: | 1. State Key Laboratory of Modern Optical Instrumentation, Zhejiang University, Hangzhou 310027, People’s Republic of China;2. Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201204, People’s Republic of China;3. International Center for New-Structured Materials, State Key Laboratory of Silicon Materials and Department of Materials Science and Engineering, Zhejiang University, Hangzhou 310027, People’s Republic of China;1. Division of Nephrology, Universidade do Estado do Rio de Janeiro, Rio de Janeiro, Brazil;2. Division of Hematology, Universidade do Estado do Rio de Janeiro, Rio de Janeiro, Brazil;1. Escola Politécnica, University of São Paulo, Av. Professor Luciano Gualberto, Trav 3 no. 380, 05508-010 São Paulo, Brazil;2. Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milano, Italy;1. Departamento de Matemática, Universidade Federal de Pernambuco, Recife, PE 50740, Brazil;2. Departamento de Matemática, Universidade Federal de Sergipe, São Cristóvão, SE 49100, Brazil;3. Departamento de Matemática Pura e Aplicada, Universidade Federal do Rio Grande do Sul, Porto Alegre, RS 91509, Brazil |
| |
| Abstract: | The dynamic behaviour of vertical slender structures for marine applications under parametric excitation is considered. The governing equations are treated using two different numerical schemes. The effect of parametric excitation is examined in cases where the excitation frequency lies in the vicinity of nonlinear resonances. First, the un-damped case is considered and the features of the dynamic response are properly identified and discussed. For explaining the particulars of the un-damped behaviour, the governing equations are treated analytically by applying the method of normal forms. The effect of damping is examined through comparative numerical computations of the system's behaviour. It is shown that the inclusion of hydrodynamic drag in the describing model eliminates the impacts of internal resonances excited due to the parametrically imposed motions. Finally, the paper demonstrates the significance of the terms that describe the coupling between the longitudinal and transverse vibrations. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
