elastic equations 中文意思是什麼
elastic equations
解釋
彈性方程（式）-
Under the assumption that the elastic tensor satisfies the strong - ellipticity condition, we reduce the two - dimensional equations of linearly elastic membrane shells to a first order linearly symmetric hyperbolic system
摘要在彈性張量滿足強橢圓性條件的假設下，把2 -維線性動態膜殼方程組化為一階線性對稱雙曲組。 -
For obtaining the numeral solutions of round elastic plates in axisymmetrical deformation with varying - thickness in nonlinear deformation in the unsteady electromagnetic field and mechanical field, by establishing the equations of motion, the equations of distortion, the equations of lorentz force, the equations of electronic dynamic mechenical, and adopting iterative method, we gained the nonlinear magneto - elastic calculation method and outcome of current - carrying shell, and gained the influencing degree toward mechanical parameter of varying thickness round ferreous plates in the electromagnetic field and mechanical field
摘要為了獲得內邊界固定的環形導電薄板在均布力與橫向磁場作用下的變形問題的數值解，通過建立運動方程、變形方程、電動力學方程和洛侖茲力方程，運用迭代法得出了載流板殼的非線性磁彈性的計算方法和結果，以及機械場、電磁場對鐵質變厚度圓板各力學參量的影響程度。 -
Many scientists and mechanists, such as euler, prager, green, ericksen, hill, truesdell, eringen, made great contribution in this field and developed a general theoretical system. however, there still remain a lot that should be further investigated. this thesis discusses the linear theory of field of elastic solids subjected to additional deformation, and the corresponding virtual work equations and the displacement - based variational principle
本文第一章述評了由euler開創的，經prager 、 green 、 ericksen 、 hill 、 truesdell和eringen等學者發展並成功應用的附加變形或運動的思想，作為后續各章的基礎。 -
In chapter 5, we discuss the cauchy problem of the imbq equations which originate from the longitudinal propagation in a nonlinear elastic rod model of dna
在第五章中，研究由nwa分子中的非線性波傳播而導出的twrsq型方程組w 。一「 8c一uoc 。 。 -
For the regular curves, we find two killing fields for the purpose of integrating the structural equations of the p - elastic curves and express the p - elastica by quadratures in a system of cylindrical coordinates. for the star - like affine curves, we solve the euler - lagrange equation by quadratures and reduced the higher order structure equation to a first order linear system by using killing field and the classification of linear lie algebra sl ( 2, r ), sl ( 3, r ) and sl ( 4, r ). we solve the centroaffine p - elastica completely by quadratures
對于正則曲線的情形，我們發現了兩個用於求解p -彈性曲線的結構方程的killing向量場並用積分將p -彈性曲線在一個柱面坐標系中表示出來，而對仿射星形曲線的情形，我們用積分方法解出了歐拉-拉格朗日方程，利用killing向量場及線性李代數s1 （ 2 ， r ） 、 s1 （ 3 ， r ）和s1 （ 4 ， r ）的分類將高階結構方程降為一階線性方程，因此我們用積分完全解出了中心仿射p -彈性曲線。 -
The equations of motion governing the axisymmetric elastic deformation of finite orthotropic cylindrical shells, involving the effect of transverse shear and rotational inertia, are derived. by applying the reverberation method, the displacement and the resultant forces of the shell in the phase space are expressed. then the transient waves in the finite orthotropic cylindrical shell subjected to the axisymmetric impact are obtained by using inverse laplace transforms. furthermore, the transient solutions are decomposed to the generalized ray integrals and computed numerically
分析了計及剪切變形和轉動慣性的有限長正交異性圓柱殼中彈性瞬態波的傳播問題，採用回傳矩陣法，在相空間中給出了位移和內力的表達式。再利用laplace逆變換，得到正交異性圓柱殼受軸對稱沖擊作用時彈性瞬態波解，然後將其分解為若干廣義射線積分之和，並用數值方法求解之。 -
The elastic foundation model is considered as two - parameter elastic foundation model and its effect to moderate - thick plates are taken into account by a set of governing differential equations. united with hu hai - chang ’ s function, least squares collocation weighted residual method which uses b - spline function as trial function is put forward for solving the bending problems. compare with the results of finite element method of lines, spline finite strip method, accurate solution of series etc. it is proved that the method in this article has adequate accuracy and practical feasibility
本文採用瑞斯納中厚板理論求解彈性地基板，建立雙參數地基與中厚板相互作用的控制微分方程，結合胡海昌的解耦函數，運用雙五次b樣條函數作為試函數的離散型最小二乘加權殘值法分析了雙參數地基上的中厚板的彎曲問題，並將結果與有限元線法、有限條法、級數精確解等進行比較，證明本文方法具有足夠的精確性與實際的可行性。 -
Simply supported and multilayered magneto - electro - elastic plates : the state vector equation of transversely isotropic magneto - electro - elastic solid is established from its governing equations in a cartesian coordinate system
對于簡支壓電壓磁彈性層合板問題，從它的基本方程出發，建立了壓電壓磁彈性層合板的狀態變量方程。 -
The content of this thesis comes from the fujian natural science found following research task 。 it studies on a space cantilever single beam attached to a moving support 。 inertia forces which are brought by the support ' s movement ， are acceded to the equivalent initiative forces and the equivalent initiative moments 。 when we consider the relation of the forces and deformation ， we change the method of material mechanical analysis to the elastic mechanical analysis 。 further more ， we discusses the feasibility of the method which uses the multi - rigid - body discrete model to simulate the dynamic characteristic of a elastic body 。 first ， the finite segment method is adopted to establish the models of the beam 。 based on kane ' s equations ， dynamic math - model for the beam are derived 。 and by use of c - language and runge - kutta procedure ， the computer - oriented procedure can give the whole responses of the beam 。 second ， with compare to the numerical examples ， the method which uses the multi - rigid - body discrete model to simulate the dynamic characteristic of a elastic body which is under the condition of movement is verified to be feasible 。
本論文為福建省自然科學基金后續研究課題，以已知支撐運動的單個空間懸臂梁為對象，在等效主動力與等效主動力矩中加入支撐轉動引起的慣性力，並在考慮力與變形關系時，用更一般的彈性力學分析代替材料力學分析，進一步研究用多剛體離散模型來模擬其動力學特性的可行性。首先，用有限段建立機械臂的多剛體離散模型，用kane動力學方法建立其動力學方程。並用c語言編制演算法程序，採用了四階runge - kutta積分程序求解微分方程組，給出構件的全部動態歷程。 -
The linear elastic slope deflection equations of gable portal frames when occur the side - sway and non - sway buckling are derived. the equations considere the rafter slope and the vertical uniform loading subjected on the rafter. the established equations of non - sway buckling can consider the effect of snap change effect of gable frame
推導了山形門式剛架有側移失穩和無側移失穩的線彈性位移方程，方程考慮了斜梁傾角和斜樑上豎向均布荷載的影響;建立了能考慮山形門式剛架跨變效應的無側移失穩位移方程。 -
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。 -
Finally, two - dimensional wave - motion equations of the finite deformation elastic rod are derived by variation principle taking simultaneously geometrical and physical nonlinearity into consideration
最後，利用變分原理又導出同時考慮幾何和物理非線性的有限變形彈性桿的二維波動方程。 -
Then, an ideal elastic stress - strain relation model is debated to buildup the equivalent load from the development deformation. the potential energy fonctionelle is built with the structural displacements introduced. the optimization equations are built by making the variation of the potential energy fonctionelle be zero
根據有限元方法，引入網格結點結構位移，建立了以單元結點lagrange位移和結構位移表達的變形位能泛函，利用變分法理論建立了使變形位能取極小值的優化模型。 -
Integral equations of vertical vibration ofan elastic circular plate on a fluid - saturated poroelastic half space
多孔飽和半空間上彈性圓板垂直振動的積分方程 -
Integral equations for solving the consolidation settlement of an elastic circular plate resting on a poroelastic half space
求解飽和半空間上彈性圓板固結沉降的積分方程 -
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。 -
According to equilibrium equations, geometric equations and constitutive equations, theoretical derivation of identifiability of back analysis was done when slope is in elastic state
論文還依據卒衡方程、幾何方程和物理方程，對處于彈性狀態的巖質邊坡反分析問題的可辨識性進行了理論推導。 -
The research of this dissertation is focused on how to solve the 3 - dimensional compressible navier - stokes equations by the implicit finite difference algorithm and to simulate numerically the unsteady subsonic and transonic viscous flows around rigid and elastic wings. on the base of them the aeroelastic characterictics of an elastic wing have been studied
本文的主要工作是用隱式有限差分法求解三維非定常紊流n - s方程組，數值模擬剛性機翼及彈性機翼的亞、跨、超音速定常及非定常粘性繞流，並在此基礎上研究了彈性機翼的氣動彈性問題。 -
Determination method of the damage threshold stress and damage threshold strain is given, six kinds of damage variables ( which are across isotropy effectual elastic modulus damage variable, simple effectual elastic modulus damage variable, density damage variable, volume damage variable, volume density damage variable and area density damage variable ) are defined, evolution curves and evolution equations of harden yield damage are obtained
提出了損傷應力和應變門檻值的確定方法，並定義了六種損傷變量（即橫觀各向同性有效彈性模量損傷變量，簡單有效彈性模量損傷變量，密度損傷變量，體積損傷變量，體積密度損傷變量和面積密度損傷變量） ，在此基礎上得出了硬化屈服損傷過程中的損傷演化曲線和演化方程。 -
General expressions of constitutive equations for isotropic elastic damaged materials
各向同性彈性損傷本構方程的一般形式
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