论文部分内容阅读
基于Euler-Bernoulli梁理论,分析了具有粘弹性支座的钢筋混凝土梁在低速冲击作用下的弹性动力响应问题。根据准静态Hertz接触理论和梁的横向振动方程,建立了梁在弹性阶段的动力响应方程组,给出了梁动力函数和支座动力函数的计算方法。研究表明:粘弹性支座使梁的位移峰值减小,而且位移到达峰值的时间也有所延后,有利于提高梁结构的抗冲击能力。与刚性支承相比,粘弹性支座的附加惯性力降低了梁动力函数和支座动力函数值,并降低了梁的振动频率;梁动力函数和支座动力函数值随支座阻尼增大而减小,且支座阻尼加速了动力函数值衰减;除了采用粘弹性支座外,缩短冲击荷载的作用时间也可以减小结构的动力响应。
Based on the Euler-Bernoulli beam theory, the elastic dynamic response of reinforced concrete beams with viscoelastic bearings under low velocity impact is analyzed. According to the quasi-static Hertz contact theory and the transverse vibration equation of the beam, the dynamic response equations of the beam during the elastic phase are established, and the calculation methods of the beam dynamic function and the support dynamic function are given. The results show that the viscoelastic bearing reduces the peak displacement of the beam, and the time of the peak displacement of the beam also lags behind, which is in favor of improving the impact resistance of the beam structure. Compared with the rigid support, the additional inertial force of the viscoelastic support reduces the beam dynamic function and the support dynamic function value, and reduces the vibration frequency of the beam; the beam dynamic function and the support dynamic function value increases with the damping of the support Decreases, and the support damping accelerates the dynamic function value attenuation. In addition to using viscoelastic bearings, shortening the action time of impact load can also reduce the dynamic response of the structure.