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以推广的富氏级数(即自变量为平面上的动坐标,故自变量包括平面直角坐标 x 和y,还有时间变量 t)为运算工具,求出以 Rayleigh 非线性阻尼所定义,包括低速破裂时有激发和高速破裂时有衰减的走滑断层破裂过程中的位移及应力分量的解析表达式,此为问题的基本解,再根据文献,在基本解之前乘上在断层尖端有坐标1/2阶奇异性因子而得问题的完整解。用小参数摄动法把非线性方程线性化。
Taking the extended Fourier series (that is, the independent variable is the moving coordinate on the plane, the independent variables include the rectangular coordinates x and y, and the time variable t) as the calculation tool, the nonlinear Rayleigh damping is defined as including The expression of displacement and stress component during the strike-slip fault rupture with low excitation and high-velocity rupture during low-velocity rupture is the basic solution to the problem. According to the literature, before the basic solution is multiplied by the coordinates The Complete Solution to the Problem of the ½ Order Singularity Factor. Nonlinear Equations with Small Parameter Perturbation Method.