【作者】 马建军； 聂梦强； 高笑娟； 秦紫果；

【Author】 MA Jian-jun;Nie Meng-qiang;GAO Xiao-juan;Qin Zi-guo;School of Civil Engineering,Henan University of Science and Technology;

【机构】 河南科技大学土木工程学院；

【摘要】 为研究土体质量对弹性地基梁非线性动力学特性的影响,基于Winkler地基模型、Euler梁理论和弹性地基的运动方程,建立了Winkler地基上有限长梁的非线性动力学模型。利用特征值分析和多尺度方法,分别求得了梁的线性和非线性固有频率及模态构型。进而通过数值分析,研究了土体质量对Winkler地基上有限长梁非线性自由振动的影响效应。研究结果表明:若土体质量引入Winkler地基上有限长梁的动力学模型,梁的固有频率降低;土体质量对梁的高阶非线性模态构型影响显著。更多还原

【Abstract】 For analyzing the effect of soil masses on the nonlinear dynamics nature of the beam on elastic foundation, based on Winkler model, Euler beam theory and the equation of motion of elastic foundation, the nonlinear dynamics model of a finite-length beam on Winkler foundation. Applying the eigenvalue analysis and the method of multiple scales, the linear and nonlinear natural frequencies and mode shapes are obtained. Then, by means of the numerical calculation, the effect of soil masses on the nonlinear free vibration of the finite-length beam on Winkler foundation is explored. The numerical results showed that the natural frequencies of beam decrease, when soil masses are included in the nonlinear dynamic model of the finite-length beam on Winkler foundation. Moreover, it is significant that the effect of soil masses on the high order nonlinear mode shapes of the beam.更多还原