【作者】 刘丽威； 王永亮；

【Author】 Liu Li wei,Wang Yong liang (College of Aerospace Engineering,Nanjing University of Aeronautics &Astronautics,Nanjing,210016,China)

【机构】 南京航空航天大学航空宇航学院；

【摘要】 本文采用微分求积法对功能梯度梁的动力学特性进行了分析。考虑杨氏模量和密度沿厚度按幂函数变化的一种功能梯度材料,在经典梁理论假设基础上,建立了弹性地基上FGM梁的横向振动微分方程。采用Winkler与Pasternak模型,用微分求积法研究了两端简支和两端固定的弹性地基上FGM梁的自由振动特性。将微分求积法的计算结果与现有数值结果进行了比较,证明了DQ法的有效性,给出了不同地基参数下一阶固有频率与梯度指标之间的变化曲线。更多还原

【Abstract】 The differential quadrature method is used for analyzing the dynamics characteristics of FGM.The beam is assumed orthotropic at any point,while material properties varying exponentially along the thickness direction.A differential equation of motion for functionally graded material beam resting on elastic foundation is established based on Euler-Bernoulli theory of elastic beam.The vibration characteristics of FGM beam resting on Winkler and Pasternak soil with two edges simply supported and two edges clamped are studied by differential quadrature method.The DQ results are compared with existing numerical results to verify the correctness of the DQM.The variation curves of the first-order natural frequency with foundation parameters for the different gradient index are obtained.更多还原