A numerical method of inverse Laplace transformation of the fractional function 分式函数拉氏反变换的数值计算简法
By using the integral transform method, it is reduced to the solution of a singular integral equation of the Cauchy type in Laplace transform domain. Numerical computation was then performed and the inverse Laplace transformation carried out. 用积分变换法将问题化为一个在Laplace变换域内的Cauchy型奇异积分方程,然后求数值解,并完成Laplace逆变换。
Based on distribution parameter node admittance equations and the method of the numerical inverse Laplace transformation ( NILT), crosstalk coupling voltage responses are analyzed at terminals of transmission lines with common ground. 基于传输线分布参数节点导纳方程和数值拉普拉斯反变换(NILT)方法,仿真分析了传输线串扰电压响应及传输线参数和端接阻抗对串扰电压峰值的影响。
The frequency domain transfer function of the thin metallic shell is fit into a rational function using the vector fitting method, with the pulse response expressed as a sum of decay exponentials in the time domain from the inverse Laplace transformation. 该方法将金属薄壳频域屏蔽效能转移函数拟合为有理函数,根据拉氏逆变换性质,得到金属薄壳脉冲时域响应指数叠加的形式,从而采用递归卷积计算任意波形激励时金属薄壳的暂态屏蔽效能。
Based on the nature of Laplace transformation and inverse Laplace transformation, this paper introduces the additional function and obtains the concise analytical solution in the real space. 根据拉式变换及其逆变换的性质引入了附加函数,得到了形式简明的实空间上的解析解。
Generalization and Application of Expansion Theorem of Inverse Laplace ′ s Transformation 逆Laplace变换展开定理的推广和应用
By this, the REDUCE system can be used in operation and inverse operation of abstract operator, Laplace transformation and inverse transformation, solving differential equation, formula manipulation, and proposition verification eta. 使REDUCE系统可用于抽象的算符演算,逆演算;用于Laplace变换,逆变换及解微分方程,推导公式,以及验证有关定理等。
Numerical results for several response modes such as breathing mode and translational mode were obtained by inverse Laplace transformation, and were used to discuss the influence of relative rigidity of liner and soil on the dynamic response of the tunnel. 利用Laplace数值逆变换在时间域中得到瞬时、移动等响应模式条件下的数值结果,并讨论了衬砌和土体的相对刚度对隧洞动力响应的影响。
With Laplace transformation and inverse Laplace transformation, analytical solutions of time domain response and frequency domain response of single degrees-of-freedom are obtained. 用Laplace变换及其反变换,解析地计算了解耦后单自由度系统的时域和频域响应。