信阳师范学院学报（自然科学版）2016，Vol.29Issue(3)：471-475,5.DOI:10.3969/j.issn.1003-0972.2016.03.037
弹性地基不可伸长梁的3次超谐共振响应分析
Analysis of the Third Superharmonic Resonance of Inextensional Beams on Elastic Foundation
摘要
Abstract
Based on the nonlinear dynamics model of an inextensional beam on elastic foundation, the 3rd super⁃harmonic resonance of the beam subjected to the lateral harmonic excitation was investigated, and the effects of main parameters on the dynamic characteristic of the beam is analyzed. Applying the method of multiple scales, the frequen⁃cy⁃response equation of the 3rd superharmonic resonance of the beam was obtained. Moreover, the frequency⁃response curves of the beam were drawn, and the effects of the foundation models, Winkler parameter, excitation amplitude and boundary conditions on the dynamic response of the beam were studied. The numerical results showed that the second e⁃lastic layer included in the three⁃parameter foundation model promoted the increase of the softening characteristic of the dynamic response, and this foundation model enhanced the nonlinear characteristic of the beam. The excitation ampli⁃tude had a certain influence on the dynamic characteristic of the 3rd superharmonic resonance of the beam, which cau⁃ses the change of the initial drift of the backbone curve.关键词
弹性地基/不可伸长梁/多尺度法/3 次超谐共振/幅频响应Key words
elastic foundation/inextensional beam/the method of multiple scales/3rd superharmonic resonance/frequency-response curve分类
建筑与水利引用本文复制引用
马建军,高笑娟,刘丰军..弹性地基不可伸长梁的3次超谐共振响应分析[J].信阳师范学院学报（自然科学版）,2016,29(3):471-475,5.基金项目
国家自然科学基金项目（11502072，51474095）；河南省教育厅科学技术研究重点项目（14A410003）；河南科技大学科研创新能力培育基金项目 （）
