elastic boundary 中文意思是什麼
elastic boundary
解釋
彈性邊界-
In light of the elastic thin plate theory, the author induced equilibrium differential equation of bi - direction cellular slab, which was proved correct through analysis and comparison to result of ansys to with theoretical calculation. through the deflection and bending moment coefficient calculation of bi - direction cellular slab under various boundary conditions, the author brought forward the theory that the deflection of mid - span and bending moment coefficient calculation of mid - span and support of bi - direction cellular slab could be in accordance with solid plates ", which could satisfy the precision of engineering
本文根據彈性薄板理論，導出了雙向空腹板的平衡微分方程，並通過理論計算和通用有限元程序ansys結果對比，驗證了其正確性；通過對各類邊界條件下雙向空腹板撓度和彎矩系數的計算比較，本文提出：雙向空腹板跨中撓度及跨中、支座彎矩可使用本文空腹板剛度公式查找現有的實心板撓度彎矩系數表進行計算，完全能滿足工程精度要求。 -
This paper establishes a model simulating dam actual placing process and considering the non - continuity of initial temperature on the boundary of new and old concrete, daily air temperature change, concrete - placing temperature, hydration heat, heat insulation on boundary, water - storing process, placing intermission and curing with water. the calculation of stress field considers the concrete weight, static water pressure, thermal stress, different autogenous volume change between rcc and normal concrete, change of elastic modulus of concrete with age and creep action
考慮了乞今最為全面的初始條件和邊界條件，包括模擬壩體的實際升程過程，考慮了新老混凝土接觸面上的初始溫度不連續，逐日的氣溫變化，混凝土的入倉溫度，水化熱溫升，邊界保溫，水庫蓄水過程，澆築間歇以及灑水養生等因素；應力場的計算考慮了混凝土的自重，靜水壓力，溫度應力，常態混凝土與碾壓混凝土不同的自生體積變形，混凝土的彈性模量隨齡期的變化以及徐變的作用。 -
Doctor candidate : yan qiwu supervisor : prof. slien pllsheng iii this thesis, a systematic theory on spatial elastic - plastic time - history analysis of reinforced concrete frame - tube structures tinder strong multiple earthquake excitations is established. covering problems about materal, rnember and structural system considering about the nonlinearity of material, geometry and boundary
木文考慮了材料、幾何、邊界非線性，建立了從材料、構件到結構的一個較為系統的鋼筋砼框筒結構在多維地震波作用下的空間彈塑性時程分析理論。 -
4. with visco - elastic boundary of soil considered, the eigenvalue equation in frequency domain of soil dynamic equilibrium equation falls into a complex transcendental equation. in course of seeking its solution, based on argument principle and contour integral, with the aid of matlab, two numerical algorithm combined with the corresponding procedures for solving transcendental equations in a complex plane is developed by the author
4 、由於考慮了土體的粘彈性支承邊界條件，使得其動力平衡方程在頻域內的固有值方程為一復數超越方程，為了求解該方程，筆者基於幅角原理和閉合曲線積分，結合matlab ，提出了復平面上超越方程的兩種數值解法，並編制了相應的程序。 -
The main results and academic contributions of the dissertation can be summarized as following : 1 ) for the difficulty to obtain the accurate analytical solution of the stress constraints around 3d cracks, detailed 3d fe analyses have been conducted to study the out - of - plane constraint factor tz around a straight through - thickness crack, a quarter - elliptical corner crack and a semi - elliptical crack embedded in an isotropic elastic plate subjected to uniform remote tension loading. the distributions of tz are minutely studied in the forward section of the cracks. strong 3d zones ( tz > 0 ) along the crack front were investigated despite the far field stress - free boundary conditions
全文主要研究內容和學術貢獻如下: 1 .針對一般三維裂紋端部場應力約束準確解析的困難，對均勻拉伸載荷作用下各向同性彈性板中穿透厚度中心直裂紋、半橢圓表面裂紋和1 / 4橢圓角裂紋進行了大量詳細的全場應力三維有限元分析，首次全面分析了非穿透裂紋端部場三維影響區范圍，給出了不同形狀三維裂紋前沿離面應力約束因子tz的數值解，並結合k場平面解給出了非穿透裂紋端部應力場k - tz雙參數描述。 -
The main original work is as the followings : 1. longitudinal vibration of an integral pile in an uniform soil with end bearing boundary or elastic bottom boundary undergoing vertical harmonic load is theoretically investigated
主要工作如下： 1 、分別對均質土中完整端承樁和彈性支承樁在垂直諧和激振力作用下的縱向振動特性進行了研究。 -
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。 -
Application of natural boundary element method to the bending problem of the elastic thin circular plate
自然邊界元法在彈性圓形薄板彎曲問題中的應用 -
Based on the fundamental solution of two perfectly bonded elastic halfspaces, and using the boundary integral equation method and the finite - part integral concepts, the problem is reduced to a hypersingular integral equation in which the unknown function is the crack opening displacement discontinuity
首先根據雙材料空間的彈性力學基本解，使用邊界積分方程方法，在有限部積分的意義下導出了以裂紋面位移間斷為未知函數的超奇異積分方程。 -
Fem with absorbing boundary condition and expansion of discrete chebyshev polynomials for inverse problem of elastic waves
基於吸收邊界條件的有限元方法和離散切比雪夫展開的二維缺陷識別 -
Three finite - difference methods, i. e., stagger grid, implicit and explicit algorithms, are analyzed in detail. multi - grid algorithm is firstly introduced in elastic wave simulation, to solve for the stability problem inherent in stagger grid and implicit algorithm, also for the efficiency problem inherent in explicit algorithm, and the precision, stability and efficiency for simulation of elastic wave arc increased by multi - grid method. phase - delay method is provided to effectively absorb boundary reflection and increase efficiency for wave motion simulation, based on phase delay and amplitude decaying features along wave propagation
在水平分層介質接收函數的波形反演研究的基礎上，本文系統闡述了非均勻介質中彈性波傳播數值模擬常用的三種有限差分方法：顯式差分、隱式差分和交錯網格法，首次將多重網格演算法應用於彈性波方程的數值模擬問題，克服了交錯網格法和顯式差分法穩定性差，以及隱式差分法計算效率低的缺點，大大提高了彈性波數值模擬的精度、穩定性和計算效率。 -
The solutions include : the unit normal vector of the elastic - plastic boundary near the crack line, the elastic - plastic stress fields near crack line, law that the length of the plastic zone along the crack line is varied with an external loads, the maximum lengths of the plastic zone, the bearing capacity of a finite plate with an eccentric crack loaded by shear forces
這個解包括：裂紋線附近彈塑性邊界上的單位法向矢量，裂紋線附近的彈塑性解析解、最大塑性區長度、裂紋線上的塑性區長度隨荷載的變化規律及其承載力。 -
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。 -
The pile analysis method includes elastic method, simplified model method, and shearing deformed method. of course, as one type of numerical method, finite element method is used more than boundary element method
具體分析方法包括彈性理論法、簡化模型法、數值分析方法。模型簡化法包括荷載傳遞法和剪切變形法。 -
In the analysis of the elastic local buckling strength of the stiffener ' s web, the elastic critical stress is analytically derived by solving the characteristic value problem involving the governing differential equation under the corresponding loading and boundary conditions
對于加筋板中加強筋腹板的局部屈曲，則用解析法推導出筋的腹板的撓度方程及其邊界條件，求解相應的方程，從而計算出腹板的局部屈曲應力。 -
Thirdly, employing the boundary element method, the original problem ( having imperfect interface ) will be solved on the basis of elastic fields with perfect interface
然後，運用邊界單元法得出原問題基於完美界面基礎上的解答。 -
The boundary integral equation for elasticity is derived through the general green ’ s formula and the corresponding fundamental solution. the paper represents the contact conditions, which are essential for the coupling of the boundary integral equations of the two different elastic contact bodies, in a local coordinate system properly chosen
利用廣義格林公式和基本解得出彈性問題的邊界積分方程，採用循環迭代的方法，通過尋求與接觸條件相協調的接觸邊界位移及面力增量來確定接觸區域的大小。 -
In this dissertation, some basic investigations on the bem of 3d elastic contact problem have been carried out, which can be listed as follows : at first, an early investigation of authors " group, on direct error estimation of bem solution for elasticity problem, is extended from 2d problem to 3d elastic contact problem. an accurate and efficient algorithm for the determination of boundary displacement, which is continuous with the displacement solution within the domain of an elastic body, is then presented
本文對三維彈性體接觸問題的邊界元法做了若干應用基礎性研究，其中主要包括以下幾個部分：作者首先將本研究組提出的彈性力學問題邊界元解誤差的直接估計從二維推廣到三維問題，給出了確定與域內解連續的邊界位移的一種精確有效的方法。 -
Furthermore, in order to improve the modeling accuracy of the whole robot structure, the elastic boundary pole with multi - restriction and the spatial lamella are study in this paper by using bem, and the boundary integral equations are set up. this lays foundations for introducing the spatial elements combined structure and the composed configure of the staff and plate, which has much application values
此外，為了提高機器人機械結構的靜力學建模精度，本論文還對多約束柔性邊界桿件及空間板單元結構進行了解析研究，建立了相應的邊界元方程，為空間板單元組合結構及板梁合成的引入及研究打下了基礎。 -
According to thinking the joints of plates as elastic boundary supports to plates and by using of the method of separation of variables, betti ' s reciprocal theorem of work, the solution of dynamic equation can be deserved
運用變分法，分離變量法，互等功定理等數學工具求解板的運動方程，可得出彈性地基上考慮接縫傳荷能力的道面板在移動荷載下的動力響應（解析解） 。
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