共查询到20条相似文献,搜索用时 0 毫秒
1.
钱伟长 《应用数学和力学(英文版)》1997,(2)
VI.SimplifiedAssumptionsforFirstorderSimplifiedApproximateTheory,TheirSystemofEquationsandRelatedBoundaryConditionsInthepreviouspaper['l,theassumptionsinfirstorderapproximationtheoryaree.=A, Alz,e,:=(h'/4-z')(S, S1z S:z:)(6.la,b)inwhich,theKirchhoffLoveas… 相似文献
2.
Chien Weizang 《应用数学和力学(英文版)》1997,18(1):1-18
Based on the approximation theory adopting non-kirchhoff-Love assumption for three dimensional elastic plates with arbitrary
shapes[1],[2], the author derives a functional of generalized variation for three dimensional elastic circular plates, thereby obtains
a set of differential equations and the relate boundary conditions to establish a first order approximation theory for elastic
circular plate with fixed boundary and under uniform loading on one of its surface. The analytical solution of this problem
will present in another paper. 相似文献
3.
Chien Weizang 《应用数学和力学(英文版)》1997,18(2):103-112
Based upon the differential equations and their related boundary conditions given in the previous paper, this paper finds
the analytical solution of non-Kirchhoff-Love theory for elastic circular plate with fixed boundary conditions under uniform
surface loading. However, for the sake of saving computational work, the first order approximation theory can be further simplified
in more rational bases. 相似文献
4.
钱伟长 《应用数学和力学(英文版)》1997,(1)
I.1ntroductionTheaxisymmetricproblemofthreedimensionalelasticcircularplatecanbetreatedasthreedimensionalaxisymmetricproblemofelasticity.Weconsideracircularplatewithauniformthicknessh,andsetupacircumferentialcoordinates(r,o)onitsmidd1esurfacewithabscissazp… 相似文献
5.
LARGEDEFLECTIONPROBLEMOFTHINORTHOTROPICCIRCULARPLATEONELASTICFOUNDATIONWITHVARIABLETHICKNESSUNDERUNIFORMPRESSURE(王嘉新)(刘杰)LARG... 相似文献
6.
王颖坚 《应用数学和力学(英文版)》1990,(4)
Basic equations for large deflection theory of thin orthotropic circular plate withvariable thickness are derived in this paper.The modified iteration method is adopted tosolve the large deflection problem of thin orthotropic circular plate with variable thicknessunder uniform pressure.Ifε=0 ,then the solution derived from the result in this papercoincides completely with the result given by J.Nowinski(using perturbation method)forsolving large deflection problem of thin orthotropic circular plate with constant thicknessunder uniform pressure. 相似文献
7.
王新志 《应用数学和力学(英文版)》1983,(1)
In this paper,to begin with,the large deflection equationof variable thickness circular plates is given.By using smallparameter method and revised iteration jointly a cubic approxi-mate solution is obtained.A characteristic is also given forcomparison with linear theory. 相似文献
8.
In order to predict the life of engineering structures,it is necessary to investigate thestrain distribution in notched members.In general,the Bauschinger Effect of materialsunder cyclic loading is not negligible,and so the anisotropic hardening model has beensuggested.From the comparison between the calculated and experimental results in thispaper,we can see that even the linear kinematic hardening model is quite suitable for strainanalysis under cyclic loading. 相似文献
9.
This paper deals with the axisymmetrical deformation of the circular plate in largedeflection,which is on elastic foundation and in conjunction with a certain linear elasticstructure.The governing integral equations are established by the method of mixedboundary condition I and the simplified form is given.The pertrubation method is used toobtain the solutions and an example of the composite structure made up of a circular plateand a cylindrical shell is presented. 相似文献
10.
AFURTHERSTUDYOFTHETHEORYOFELASTICCIRCULARPLATESWITHNON-KIRCHHOFF-LOVEASSUMPTIONSChienWei-zang(钱伟长)RuXue-ping(茹学萍)(ShanghaiUni... 相似文献
11.
In order to predict the life of engineering structures, it is necessary to investigate the strain distribution in notched members. In general, the Bauschinger Effect of materials under cyclic loading is not negligible, and so the anisotropic hardening model has been suggested. From the comparison between the calculated and experimental results in this paper, we can see that even the linear kinematic hardening model is quite suitable for strain analysis under cyclic loading. 相似文献
12.
Based on the boundary layer theory for the buckling of thin elastic shells suggested in ref [14]. the buckling and postbuckling behavior of clamped circular cylindrical shells under lateral or hydrostatic pressure is studied applying singular perturbation method by taking deflection as perturbation parameter. The effects of initial geometric imperfection are also considered. Some numerical rcsuhs, for perfect and imperfect cylindrical shells are given. The analytical results obtained are compared with some experimental data in detail, which shows that both are rather coincident. 相似文献
13.
文丕华 《应用数学和力学(英文版)》1986,(5)
On the basis of ref.,this paper deduces an accurate solution for the surface ofelastic layer under normal concentrated load acting on a rigidhorizontal base,andgives numerical results, which suit civil engineers for reference. 相似文献
14.
A DISCUSSION ON“THE LARGE DEFLECTION PROBLEM OF CIRCULAR THIN PLATE WITH VARIABLE THICKNESS UNDER UNIFORMLY DISTRIBUTED LOADS” 总被引:1,自引:1,他引:0
“The large deflection problem of circular thin plate with variable thickness under uniformlydistributed loads”has been solved by using the small parameter method and modified iterationmethod jointly in the ref.[1].The solution of ref.[1]and its special results are correct.But,theprocedure in the ref.[1]is almost same as those of perturbation method in essence[2].The loadwas assumed to be 相似文献
15.
I.IntroductionInpaper[l],thedynamicresponseoftheviscoelasticthinplate-onrectangledomainisdiscussedbytheusingofthetwokindsofapproximatefundamentalsolutionsandthecorrespondingboundaryelementmethod(BEM)inLaplacespace.Theanalysisofthenumericalexamplesshowsthatonlywhenthetruncatednumberkintheapproximatefundamentalsolutionandthemaximummeshsizehsatisfycertainrelation,itcouldbeguaranteedthattheapproximatesolutionhaveenoughaccuracy.Inpresentpaper,theerrorestimationfortheapproximateboundaryelemelltmet… 相似文献
16.
A DISCUSSION ON“THE LARGE DEFLECTION PROBLEM OF CIRCULAR THIN PLATE WITH VARIABLE THICKNESS UNDER UNIFORMLY DISTRIBUTED LOADS” 总被引:1,自引:1,他引:0
"The large deflection problem of circular thin plate with variable thickness under uniformly distributed loads" has been solved by using the small parameter method and modified iteration method jointly in the ref.[1].The solution of the ref. [1] and its special results are procedure in the ref. 相似文献
17.
In this paper,applying the method of the reciprocal theorem,we give the stationarysolutions of the forced vibration of cantilever rectangular plates under uniformly distributedharmonic load and concentrated harmonic load acting at any point of the plates,the figuresand tables of number value of bending moment and the deflection amplitudes as well. 相似文献
18.
江福汝 《应用数学和力学(英文版)》1999,(4)
IntroductionIn[1],theseriessolutionsofthecircularplatewithhingededgeandwiththesimplysupportededgehasyetbenconstructed,whicha... 相似文献
19.
In this paper, the necessary theoretical analysis for the approximation boundary element method to solve dynamical response
of viscoelastic thin plate presented in [1] is discussed. The theorem of existence and uniqueness of the approximate solution
and the error estimation are also obtained. Based on these conclusions, the principle for choosing the mesh size and the number
of truncated terms in the fundamental solution are given. It is shown that the theoretical analysis in this paper are consistent
with the numerical results in [1].
Project supported by the National Natural Science Fundation of China 相似文献
20.
This paper is a continuation of part (Ⅰ), on the asymptotics behaviors of the series solutions investigated in (Ⅰ). The remainder terms of the series solutions are estimated by the maximum norm. 相似文献