线黏弹性球面发散应力波的频率响应特性

发布时间：2019-04-03 11:58

【摘要】：基于线黏弹性球面波Laplace域的理论解,得到了不同传播距离处粒子速度、粒子位移、应力、应变等力学量的传递函数。以标准线性固体模型为例,重点讨论了粒子速度频率响应函数的传播特征,指出随着传播距离的增加,粒子速度幅频响应函数的高频响应会低于低频响应,而在理想弹性条件下,粒子速度幅频响应函数的高频响应一直高于低频响应。以弹性半径为0.025 m的空腔爆炸为例,采用Laplace数值逆变换方法对粒子速度波形的演化进行了分析,给出了粒子速度强间断幅值及粒子速度峰值随传播距离变化的衰减规律曲线,指出黏弹性介质中粒子速度幅值的衰减曲线介于理想弹性介质中粒子速度幅值衰减曲线和黏弹性介质中粒子速度强间断幅值衰减曲线之间。
[Abstract]:Based on the theoretical solution of linear viscoelastic spherical wave in Laplacedomain, the transfer functions of particle velocity, particle displacement, stress and strain at different propagation distances are obtained. Taking the standard linear solid model as an example, the propagation characteristics of particle velocity frequency response function are discussed emphatically. It is pointed out that the high frequency response of particle velocity amplitude frequency response function will be lower than that of low frequency response with the increase of propagation distance. Under the condition of ideal elasticity, the high-frequency response of particle velocity amplitude-frequency response function is always higher than that of low-frequency response. Taking the cavity explosion with an elastic radius of 0.025 m as an example, the evolution of particle velocity waveforms is analyzed by using the Laplace numerical inverse transformation method. The attenuation curves of the amplitude of particle velocity and the peak value of particle velocity with the propagation distance are given. It is pointed out that the attenuation curve of particle velocity amplitude in viscoelastic medium is between the attenuation curve of particle velocity amplitude in ideal elastic medium and the attenuation curve of particle velocity intensity discontinuous amplitude in viscoelastic medium.
【作者单位】：西北核技术研究所;西安交通大学航天学院机械结构强度与振动国家重点实验室;
【基金】：国家自然科学基金项目(11172244)
【分类号】：O347.4

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