孤立波与半无限复合材料体耦合作用研究

基于一维颗粒链中产生的高度非线性孤立波,研究孤立波与半无限复合材料体的耦合作用。根据赫兹定律推导了一维颗粒链中颗粒间相互作用的运动微分方程,建立了颗粒链与半无限复合材料体的接触模型。对于颗粒与复合材料的接触,采用已有文献中修正后的赫兹定律,研究了高度非线性孤立波与半无限复合材料体的耦合力学作用机理,推导了颗粒链与半无限复合材料体的相互耦合运动微分方程组,通过数值计算,得到了各颗粒的内力、速度、位移曲线。分析了材料属性对回弹孤立波出现的时间、幅值的影响。结果表明:随着纤维方向弹性模量的增大,次级回弹波出现的时间和波幅都逐渐增大,随着垂直纤维方向弹性模量的增大,次级回弹波出现的时间先减小后增大,次级回弹波的幅值逐渐减小直至消失。

The coupling effect between solitary waves with semi-infinte composite materials

Based on the highly non-linear solitary waves generated in one-dimensional particle chains,the coupling effect between solitary waves and semi-infinite composite materials is studied.According to Hertz law,the differential equations of motion of particle interaction in one-dimensional particle chains is established,and the contact model between particle chains and semi-infinite composite materials is established.The contact between particles and composite materials is studied by using revised Hertz law in the existed literatures.The mechanism of coupling mechanics between nonlinear solitary waves and semi-infinite composite materials is studied.The differential equations of coupling motion between particle chains and semi-infinite composite materials are deduced.The internal force,velocity and displacement curves of particles are obtained by numerical calculation.Influence of material properties on the time and amplitude of springback solitary waves is analyzed.With the increase of elastic modulus in fiber direction,the secondary return is obtained.The time and amplitude of the secondary rebound wave increase gradually.With the increase of the modulus of elasticity in the vertical direction of the fiber,the time of the secondary rebound wave firstly decreases and then increases,and the amplitude of the secondary rebound wave gradually decreases until it disappears.