isotropic space 中文意思是什麼
isotropic space
解釋
各向同性空間-
In the dissertation, a systematic study on the 3 - d dynamic responding of transversely isotropic saturated half - space / layered saturated strata produced by harmonic loading and seismic loading and dynamic interaction of saturated soils - foundation ( circular plate ) based on biot ' s theory for fluid - saturated porous media and the model of elastic half - space
本文基於biot兩相介質波動理論，採用橫觀各向同性飽和半空間及橫觀各向同性飽和有限層地基模型，對飽和地基的三維動力響應及橫觀各向同性飽和地基?基礎（板）的動力相互作用進行了系統研究。 -
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。 -
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。 -
Firstly, a weak formulation of this problem is derived. the existence, uniqueness and regularity of its solution are discussed. next, the mixed legendre - hermite polynomial approximation in non - isotropic sobolev space is proposed
首先，我們在第二章中討論無窮帶狀區域上熱傳導方程的弱形式及其解的存在性，唯一性和正則性，這種弱形式適合於數值計算。 -
The general stress and displacement solutions of non - axisymmetric problems are obtained by hankel transform, then the theoretical solutions of stress and displacement in transversely isotropic elastic half - space under arbitrary loading are put forward by introducing boundary conditions. the homogeneous elastic half - space solutions evolved from the theoretical solutions in the paper are in accord with classical ones. solutions under horizontal and vertical loading can be obtained respectively by specializing arbitrary loading ; by analogy, solutions under other loading can be also obtained
進而引入邊界條件得到一般荷載作用下橫觀各向同性彈性半空間的應力、位移分量理論解，此解經過退化后得到均質彈性半空間理論解與經典解吻合，對一般荷載的特殊化可以分別得到水平荷載下和豎直荷載下的理論解，如此類推，可以得到其它類型荷載的解答。 -
Furthermore, we establish some results on the mixed legendre - hermite interpolation in certain non - isotropic sobolev space. they are the theoretical foundation of the mixed legendre - hermite pseu - dospectral method
在此基礎上，我們建立了無窮帶狀區域中熱傳導方程的譜方法，證明了該方法的收斂性。 -
In the process of finite element analyzing, the beam, column and b race that not enter the plastic parts adopt bearn element that considered geometry nonlinear. the links entering plastic adopt space degenerate shell element that considered the nonlinear large - deformation, together with mixed hardening rule, which linearly combines isotropic and kinematic hardening
在有限元分析過程中，對于未進入塑性部分的梁、柱及支撐採用梁單元，梁單元考慮了幾何非線性，對于進入塑性部分的耗能梁段採用空間退化曲殼單元，曲殼單元考慮了幾何和材料的雙重非線性，材料的強化採用了混合強化法則，非線性方程通過newton - raphson迭代結合增量法求解。 -
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。 -
Applications of the state vector method into the analysis of lamina, the current research state of piezoelectric materials and smart materials for civil engineering applications are briefly reviewed based upon literature search. solutions for axisymmetric and non - axisymmetric layered space magneto - electro - elastic media via the state vector method are investigated. axisymmetric problem : the state vector equation of transversely isotropic axisymmetric space magneto - electro - elastic media is established in a cylindrical coordinate system
本文在文獻調研的基礎上，簡介了狀態變量法在層合結構分析巾的應用、壓電材料的研究現狀和智能材料與結構在土木工程中的應用；探討了運用狀態變量法求解層狀壓電壓磁彈性材料的空間軸對稱問題和非軸對稱問題。 -
In the paper, consolidation effects on stress and displacement distributions are n ' t taken into consideration due to supposing that foundation soil consolidation has completed after surcharging preloading. based on the inherent anisotropy and induced anisotropy of foundation soil body, transversely isotropic elastic constitutive relations are adopted to simulate half - space clastic foundation body. the relations between displacement and displacement function are proposed by extending t, ove displacement function to transversely isotropic elastic half - space
本文假設地基土體是經過超載預壓處理過的，固結已經完成，不考慮固結對應力、位移場分佈的影響；基於地基土存在著固有各向異性和誘發各向異性，在前人的基礎上對e地基模型進行修正，採用橫觀各向同性彈性模型模擬無限彈性半空間，將love位移函數推廣到半空間，得到位移與位移函數之間的關系，然後經過hankel變換得到非軸對稱問題位移、應力的一般解。
分享友人