橫態變換 的英文怎麼說
中文拼音 [héngtàibiànhuàn]
橫態變換
英文
transverse off set loss-
Fourthly, the solutions for non - axisymmetical dynamic responding of elastic circular plate ( thin and thick plate ) rested on transversely isotropic saturated half - space / layered ground subjected to arbitrary harmonic loading are presented. under the contact conditions, the problem leads to a pair of dual integral equations which describs the mixed boundary - value problem
首先建立直角坐標系下波動問題的狀態方程，經雙重fo吐er變換求解狀態方程后得到傳遞矩陣:利用遞矩陣給出直角坐標系下層狀橫觀各向同性飽和地基在任意分佈簡諧荷載作用下穩態動力響應的一般解。Thirdly, the method to calculate the 3 - d dynamic responding of layered transversely isotropic saturated soils to an arbitrary buried source in cylindrical coordinate as well as to an arbitrary harmonious source in rectangular coordinate is presented respectively. based on biot ' s wave theory, the 3 - d wave equations in cylindrical coordinate for transversely isotropic saturated poroelastic media are transformed into a group of governing different equations with 1 - order by the fourier expanding with respect to azimuth and hankel integral transform method or by the double fourier transform method with respect to horizontal coordinates in rectangular coordinate. then, transfer matrixes within layered media are derived under the continuous conditions, drainage conditions and the boundary conditions
基於飽和土的biot波動理論，通過fouricr變換，將橫觀各向同性飽和土三維非軸對稱波動方程轉化為一組一階常微分方程組，再經har止el變換，建立問題的狀態方程，求解狀態方程得到傳遞矩陣;利用傳遞矩陣，結合飽和層狀地基的邊界條件、排水條件及層間接觸和連續條件，首次給出層狀橫觀各向同性飽和地基在任意地展力作用下的三維非軸對稱動力響應的解析解。Using the displacement functions and the technique of double fourier transform, the governing differential equations for transversely isotropic saturated poroelastic media are easily solved and, the fourier transformed stress and displacement solutions coorespondingly are obtained. then, under the boundary conditions, the analytical solutions for half - space are presented
藉助位移函數及雙重fourier變換，研究了直角坐標系下橫觀各向同性飽和土的動力響應問題，得到了飽和半空間體在任意分佈的表面諧振荷載作用下穩態響應的一般解。In this paper, the multi - scale technology is introduced to study the wave - motion equations with viscous or transverse inertia effects or both of them. burgers equation, k - dv equation and kdv - burgers equation are deduced respectively, and correspondingly the steady shock - wave solutions, solitary wave solutions and oscillation solitary wave or shock - wave solutions are obtained
接著，又採用奇異攝動理論中的多尺度變換法分析並簡化了分別計入粘性、橫向慣性效應以及同時計入這兩種因素時的幾何非線性波的波動方程，分別得到了經典的burgers方程、 k - dv方程和kdv - burgers方程；並求出它們相應的穩態解分別為激波解、孤波解和振蕩孤波解或激波解。According to the stress and displacement variational principle, the mixed variational equations are established from which the state equation is established. thus, the theory of state space is combined with variational principle and the variational solutions are presented under arbitrary loads for transverse isotropic orthortropic bodies on general boundary conditions. thick plates on winkler ' s foundations are researched thoroughly
本文根據應力變分原理和位移變分原理，導出混合變分方程，並將其轉換成狀態方程，使狀態空間理論和變分原理相結合，給出了一般邊界條件下橫觀各向同性和正交各向異性體在任意荷載作用下的變分解。分享友人