一般對於Duhamel integral method 的推導都是先求得線性單自由度系統在單位脈衝作用下的位移反應函數,然後再基於任何的歷時載重皆可視爲是一系列單位脈衝載重的組合,因而只需將各個單位脈衝載重的位移反應函數疊加起來即可獲得此線性單自由度系統在這歷時載重作用下的位移歷時反應.本文將從動量平衡運動方程式著手來推導...
关键词 线性振动；Duhamel 积分；Duhamel 原理；Duhamel 原理积分形式；贡献度函数 Abstract This paper studies the internal relationship between the Duhamel principle (homogenization principle) in the method of mathematical physics and the Duhamel integral for the solution of linear vibration systems of single...
关键词线性振动;Duhamel 积分;Duhamel 原理;Duhamel 原理积分形式;贡献度函数 AbstractThis paper studies the internal relationship between the Duhamel principle (homogenization principle) in the method of mathematical physics and the Duhamel integral for the soluti...
A Duhamel integral based approach to one-dimensional wave propagation analysis in layered mediaBoundary integral equationsDuhamel integralConvolution quadrature methodOne-dimensional wave propagationLayered mediumIn this paper, a new method for analysing one-dimensional wave propagation in a layered medium is...
A new analysis method has been provided for dynamic load identification of a discrete system intime domain, it solves the inverse problem by means ofDuhamelintegral in forward analysis. 本文给出了离散系统动态载荷识别的一种新的时域分析方法,它是用正分析的手段来求解反问题的。
Remark 7. The presence of e−(T−t)A and the integral over [0,T] makes (9) non-local in both space and time. This aspect is further complicated by the reference to D(eTA), which for larger final times T typically gives increasingly stricter conditions: Proposition 3. If the ...
The conduction heat transfer differential equation is solved, using the monitored ID temperature as the non-homogenous first boundary condition, and using separation of variables and the Duhamel Integral method in a retrograde form.The total elastic stress at the inside surface of a hollow cylinder ...
integral form of Duhamel's principlecontributing functionThis paper studies the internal relationship between the Duhamel principle (homogenization principle) in the method of mathematical physics and the Duhamel integral for the solution of linear vibration systems of single degree of freedom. Starting ...
NaohiroAmerican Society of Civil EngineersJournal of Engineering MechanicsNakamura, N. (2012a). A basic study on the transform method of frequency dependent functions into time domain - relation to Duhamel's integral and time domain transfer function. J. Eng. Mech. 138, 276-285. doi...
duhamel integralgas bubblevapor bubbleThe solution of heat equation inside oscillating gas bubble with moving boundary was obtained by Fourier's method. The integral formula for interface heat flux, containing theta-function in the integrand was derived. The kernel of the integral is represented by ...