【摘要】 对弹性波在功能梯度材料中的传播速度问题进行了研究.利用积分变量代换,建立了功能梯度材料中波动变系数微分方程.借助于数值计算手段对功能梯度材料弹性模量和密度按指数形式递增、递减分布两种情况的波动变系数微分方程进行了求解,从中分离出波速.得到了功能梯度材料中弹性波的波速变化曲线,讨论了弹性波在功能梯度材料中传播时波速的变化规律,并且分析了弹性波在功能梯度材料中传播的一般性质.更多还原

【Abstract】 The elastic-wave propagation velocity in the functionally graded materials is studied.Based on integral variable transformation,the differential equation with varied coefficient of the wave motion in the functionally graded materials is established.While elastic modulus and density of the functionally graded materials are gradually increasing or decreasing in exponential forms,the differential equations with varied coefficient of the wave motion are solved by using the numerical methods,and the wave velocity is obtained.The curves of elastic-wave velocity in the functionally graded materials are obtained,and change regulation of elastic-wave propagation velocity in the functionally graded materials is discussed,and the general properties of elastic wave propagation are analyzed.更多还原