fredholm integral equations 中文意思是什麼
fredholm integral equations
解釋
弗雷德霍姆積分方程-
Unique solutions of linear impulsive fredholm integral equations
型積分方程的唯一解 -
Furthermore, the dual integral equations can be reduced to the fredholm integral equations of the second kind and solved by numerical procedure. at the end of this chapter, the numerical analysis for dynamic interaction characters of saturated half - space / layered ground and circular plate is evaluated. finally, the solutions for 3 - d dynamic responding of elastic rect
基於橫觀各向同性飽和半空間/有限層地基非軸對稱波動方程的通解，按混合邊值問題建立飽和地基與彈性圓板非軸對稱動力相互作用的積分方程，求解積分方程后得到橫觀各向同性飽和地基上圓板非軸對稱動力響應的一般解，並分析了飽和地基上圓薄板和中厚板振動的若干特徵。 -
The main work includes : for the torsional vibrations of a rigid disk on saturated media, first, the dynamic governing equations are solved by the use of hankel transform and the general solutions in the hankel transform fields are formulated. then, considering the mixed boundary - value condition, the dual integral equations of the torsional vibrations of a rigid disk on saturated grounds are obtained, which can be reduced to the fredholm integral equations of the second kind and solved by numerical procedures. consequently, the dynamic compliance coefficient curves and the torsional angle amplitude curves versus the dimensionless frequency are presented and contrasted to that of the elastic one
在前人研究的基礎上，本文基於陳龍珠等曾提出的一組實用飽和土波動方程，用解析或半解析的方法首次較系統而深入地研究了飽和半空間地基與基礎的扭轉振動問題，主要工作有：對于飽和地基上剛性圓板的扭轉振動，作者首先採用hankel變換求解了動力控制方程，得到了該控制方程在hankel變換域內的通解，然後由混合邊值條件建立了飽和地基上剛性基礎扭轉振動時的對偶積分方程，並將其化為易於數值求解的第二類fredholm積分方程，用數值方法計算了基礎的動柔度和扭轉角幅值與振動頻率的關系曲線，並將其與單相彈性介質情況進行了對比分析。 -
In this thesis, we present a fast self - adaptive algorithm for fredholm integral equations of the second kind with weakly singular kernels. briefly speaking, we design an algorithm which can determine the correlated parameters such that the corresponding numerical solution has given accuracy
本文考慮核函數有弱奇性的第二類fredholm積分方程的自適應快速數值解法，即事先給定數值解的精度，設計演算法確定相關的參數使得數值解滿足精度要求。 -
The model of the problem is composed of two half spaces with half circular lining inclusion. horizontal surfaces of the half spaces are loaded with undetermined anti - plane force in order to satisfy continuity conditions at linking section, or with some certain forces to appear cracks. a series of fredholm integral equations of the first kind for determining the unknown forces can be set up through continuity conditions that expressed by using of the green " function
然後將問題的模型視為「契合」問題，即將其剖分為兩個含半圓環形襯砌的彈性半空間，分別在其剖分面上加置未知的出平面荷載，並在欲出現裂紋位置加置出平面反力使之產生裂紋，接下去利用green函數表示出界面連續條件，建立決定待解外力系的第一類fredholm積分方程組。 -
The coupled quasi - solution and the solution of nonlinear impulsive fredholm integral equations
積分方程的耦合擬解及解
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