共查询到20条相似文献,搜索用时 375 毫秒
1.
APRIORIESTIMATESTOTHEMAXIMUMMODULUSOFGENERALIZEDSOLUTIONSOFACLASSOFQUASILINEARELLIPTICEQUATIONSWITHANISOTROPICGROWTHCONDITION... 相似文献
2.
ANALYTICALSOLUTIONOFRADIATEDSOUNDPRESSUREOFRING-STIFFENEDCYLINDRICALSHELLSINFLUIDMEDIUMXieGuanmo(谢官员模)LuoDongping(骆东平)(Receiv... 相似文献
3.
A UNIFORMLY CONVERGENT DIFFERENCE SCHEME FOR THE SINGULAR PERTURBATION PROBLEM OF A HIGH ORDER ELLIPTIC DIFFERENTIAL EQUATION 总被引:1,自引:0,他引:1
AUNIFORMLYCONVERGENTDIFFERENCESCHEMEFORTHESINGULARPERTURBATIONPROBLEMOFAHIGHORDERELLIPTICDIFFERENTIALEQUATION(刘国庆)(苏煜城)AUNIFO... 相似文献
4.
刘汉池 《应用数学和力学(英文版)》1995,(8)
STRESS-STBAINFIELDNEARCRACKTIPANDCALCULATIONOFCRITICALSTRESSOFCRACKPROPAGATIONINAPUREBENDINGBEAMOFRECTANGULARSECTIONWITHONE-S... 相似文献
5.
金均 《应用数学和力学(英文版)》1996,17(4):387-392
RESEARCHOFTHEPERIODICSOLUTIONFORACLASSOF NONLINEARDIFFERENTIALEQUATIONSRESEARCHOFTHEPERIODICSOLUTIONFORACLASSOFNONLINEARDIFFE... 相似文献
6.
LARGEDEFLECTIONPROBLEMOFTHINORTHOTROPICCIRCULARPLATEONELASTICFOUNDATIONWITHVARIABLETHICKNESSUNDERUNIFORMPRESSURE(王嘉新)(刘杰)LARG... 相似文献
7.
NUMERICALSIMULATIONOFTHREEDIMENSIONALTURBULENTFLOWINSUDDENLYEXPANDEDRECTANGULARDUCTNUMERICALSIMULATIONOFTHREEDIMENSIONALTURBU... 相似文献
8.
周叮 《应用数学和力学(英文版)》1996,17(8):773-779
ANANALYTICALSOLUTIONOFTRANSVERSEVIBRATIONOFRECTANGULARPLATESSIMPLYSUPPORTEDATTWOOPPOSITEEDGESWITHARBITRARYNUMBEROFELASTICLINE... 相似文献
9.
A COMPARATIVE STUDY OF THE OPENING AND CLOSING PROCESS OF TWO TYPES OF MECHANICAL HEART VALVES USING ALE FINITE ELEMENT METHOD 总被引:1,自引:0,他引:1
ACOMPARATIVESTUDYOFTHEOPENINGANDCLOSINGPROCESSOFTWOTYPESOFMECHANICALHEARTVALVESUSINGALEFINITEELEMENTMETHODACOMPARATIVESTUDYOF... 相似文献
10.
(杨宜谦)(马和中)(王俊奎)DYNAMICRESPONSEOFLAMINATEDORTHOTROPICSPHERICALSHELLSINCLUDINGTRANSVERSESHEARDEFORMATIONANDROTATORYINERTIA¥Yang... 相似文献
11.
Shen Hui-chuan 《应用数学和力学(英文版)》1987,8(4):367-376
This work is the continuation of the discussion of Refs. [1-5]. In this paper:[A] The Love-Kirchhoff equations of vibration problem with small deflection for orthorhombic misotropic thin shells or orthorhombic anisotropic thin plates on Winkler’s base are classified as several of the same solutions of Schrodmger equation, and we can obtain the general solutions for the two above-mentioned problems by the method in Refs. [1] and [3-5].[B] The. von Karman-Vlasov equations of large deflection problem for shallow shells with orthorhombic anisotropy (their special cases are the von Harmon equations of large deflection problem for thin plates with orthorhombic anisotropy) are classified as the solutions of AKNS equation or Dirac equation, and we can obtain the exact solutions for the two abovementioned problems by the inverse scattering method in Refs. [4-5].The general solution of small deflection problem or the exact solution of large deflection problem for the corrugated or rib-reinforced plates and shells as special cases is included in this paper. 相似文献
12.
13.
构造了带有补充项的双重正弦傅里叶级数通解来求解各种边界条件的多层正交各向异性矩形薄板的弯曲、振动和稳定问题.将坐标轴取在中性面上,求出用挠度表示的应力表达式,然后由横截面上每单位宽度的应力合成板的内力;再将层合板的内力代入板的平衡方程中得到板的控制方程,将多层板的物理参数折算为等价的单层板物理参数;最后联立控制方程与边界条件,求得未知量的系数并代入本文的通解中.本文的通解不需要叠加即可求解各种边界条件的板的弯曲、振动和稳定问题;现有的对于单层板的研究都可以用本文的方法拓展到多层板领域;对于复杂边界条件的板,也可以使用该通解分析. 相似文献
14.
A simple solution of the dynamic buckling of stiffened plates under fluid-solid impact loading is presented. Based on large deflection theory, a discretely stiffened plate model has been used. The tangential stresses of stiffeners and in-plane displacement are neglected. Applying the Hamilton‘ s principle, the motion equations of stiffened plates are obtained. The deflection of the plate is taken as Fourier series, and using Galerkin method, the discrete equations can be deduced, which can be solved easily by Runge-Kutta method. The dynamic buckling loads of the stiffened plates are obtained from Budiansky-Roth ( B-R ) curves. 相似文献
15.
《International Journal of Solids and Structures》2005,42(3-4):1173-1186
Nonlinear behavior of deep orthotropic spherical shells under inward radial concentrated load is studied. The singular perturbation method is developed and applied to Reissner’s equations describing axially symmetric large deflections of thin shells of revolution. A small parameter proportional to the ratio of shell thickness to the sphere radius is used. The simple asymptotic formulas describing load–deflection diagrams, maximum bending and membrane stresses of the structure are derived. The influence of boundary conditions on the behavior of the shell by large deflections is considered. Obtained asymptotic solution is in close agreement with the experimental and numerical results and has the same accuracy (in the asymptotic meaning) as the given equations of nonlinear theory of thin shells. 相似文献
16.
沈惠申 《应用数学和力学(英文版)》1989,10(4):373-384
In this paper, applying perturbation method to von Kármán-type nonlinear large deflection equations of orthotropic plates by taking deflection as perturbation parameter, thé postbuckling behavior of simply supported rectangular orthotropic plates under inplane compression is investigated. Two types of in-plane boundary conditions are now considered and the effects of initial imperfections are also studied. Numerical results are presented for various cases of orthotropic composite plates having different elastic properties. It is found that the results obtained are in good agreement with those of experiments. 相似文献
17.
Based upon the theory of ardsotropic plates, the unsymmetrical large deformation equations of orthotropic circular plates were derived. By using Fourier series, the partial differential equations of this problem can be transformed into sets of nonlinear differential equations . And the procedure to solve the problem using the iterative method is given . 相似文献
18.
尹邦信 《应用数学和力学(英文版)》1999,20(7):773-780
IntroductionAscompositesareextensivelyappliedinmodernengineringstructuresandmechanicsofcomplexmaterialshasbenhighlyadvanced,i... 相似文献
19.
On the nonlinear stability of symmetrically laminated cylindrically orthotropic shallow spherical shells 总被引:1,自引:1,他引:0
刘人怀 《应用数学和力学(英文版)》1991,12(3):271-279
In this paper,the large deflection theory of symmetrically laminated cylindricallyorthotropic shallow spherical shells is established.Based on this theory,applying themodified iteration method,the analytic solution for critical buckling loads of the shells withrigidly clamped edges under actions of uniform pressure has been obtained. 相似文献