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混凝土梁在振捣作用下,其弹性模量会沿梁高变化。如果假设其他材料参数保持不变,根据各向异性体弹性理论,推导出了弹性模量随梁高度梯度变化的Timoshenko型剪切梁的自由振动方程;在此基础上,通过算例数值分析了Timoshenko型剪切梁的动力特性,主要得到了弹性模量按指数函数变化时Timoshenko型剪切梁的自振频率及其相应阶段的模态图以及不同高跨比条件下的梯度功能梁的梯度变化时,梁的自振频率变化图。
Under the action of vibrating concrete beams, the elastic modulus of the concrete beams will vary along the beam height. If the other material parameters are assumed to be constant, the free-vibration equation of Timoshenko-type shear beam whose elastic modulus varies with the height gradient of the beam is deduced according to the elastic theory of anisotropic body. Based on this, The dynamic characteristics of the Timoshenko-type shear beam are obtained mainly from the modal diagrams of the natural frequencies and corresponding phases of the Timoshenko-type shear beam when the elastic modulus changes exponentially, and the gradient of the gradient function beam under different high span ratios Changes, the natural frequency of the beam changes.