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通过弹性波在梁结构中的反射、透射和传播,研究了Pasternak地基Euler梁在简谐集中载荷激励下响应.分别总结了Pasternak地基梁和有限长度弹性梁振动的波传播分析的研究进展.推导了Pasternak地基梁上外力和力矩作用点处的入射波与外力和力矩的矩阵关系.结合这些矩阵以及波在梁中的传播矩阵和边界处的反射矩阵,通过波列封闭原则给出了一种简洁、系统地分析任意激励频率下梁横向响应的方法.考虑两种经典边界条件,通过扫描简谐激励频率,给出了地基梁的频率响应.并由共振关系给出Pasternak地基梁的固有频率以及模态.通过数值算例比较了地基剪切模量对地基梁的频率响应的影响.
Based on the reflection, transmission and propagation of elastic wave in the beam structure, the Euler beam response of Pasternak foundation under simple harmonic loading is studied. The progress of the wave propagation analysis of the vibration of Pasternak foundation beam and finite length elastic beam is summarized respectively. Pasternak Based on these matrices and the propagation matrix of the wave in the beam and the reflection matrix at the boundary of the beam, a concise, A method to systematically analyze the transverse response of the beam under arbitrary excitation frequency is given.With two classical boundary conditions, the frequency response of the foundation beam is given by scanning the harmonic excitation frequency, and the natural frequency of the beam of Pasternak foundation and the mode The influence of the modulus of the foundation on the frequency response of the foundation beam is compared by numerical examples.