共查询到20条相似文献，搜索用时 46 毫秒
1.
For non-ideal interpolation results of complex implicit nonlinear functions between non-normal distribution response and standard normal distribution inputs using stochastic response surface method, radial basis functions was used to replace Hermite polynomials so as to solve complex implicit nonlinear function interpolation problem for its excellent performance on scattered data interpolation. A few nonlinear analytical functions and uncertainty problems of the load carrying capacity of single circular concrete filled steel tubule (CFST) arch were used as examples to test and verify the precision of proposed method in non-normal distribution response interpolation and its engineering applicability. The results show that stochastic response surface method based on radial basis functions performs well in fitting highly nonlinear input implicit functions, and can achieve high precision on multi-parameters CFST arch load carrying capacity uncertainty problems. Meanwhile, the method has less sample points compared to the Hermite polynomials method. 相似文献
2.
This paper solves the geometrically nonlinear problems of symmetric, cross-ply laminated anisotropic rectangular plates subjected to uniformly distributed load by the higher-order shear deformation theory and taking an advantage of the perturbation and the weightedresidual method. First, with the help of the perturbation, the nonlinear partial equations have been changed into linear ones. This paper can solve these linear ones by the weighted-residual method. The combination of quintic B-spline functions are chosen as the basis of trial function and Dirac delta functtion, the weighted function. The method used in this paper is simple, direct and efficient. The numerical results show a good convergence and they are in good agreement with the available data. 相似文献
3.
GONG Xian sheng 《保鲜与加工》1999,(5):6-12
A method,stroboscopic harmonicbalance method which is used to solve strong nonlinear system, is proposed. The method is used to find the solution of strong nonlinear system. In investigation,the existence conditions of primary resonance solution and subharmonic resonance solutions are obtained. The results which are obtained by the stroboscopic harmonicbalance method are compared with those by computer numerical simulation. The results show that the stroboscopic harmonicbalance method is correct in qualitative analysis and it can meet the demands in engineering. 相似文献
4.
GONG Xian sheng 《保鲜与加工》1999,(3):15-23
A method which is used for calculating steady vibration response of shipping propulsion shafting connecting with a coupling with nonlinear hysteresis characteristics are studied. On condition that the nonlinear dynamic stiffness and hysteresis damping of the coupling be considered, on the basis of GLM(Galerki Levenberg Marquard) method, a method called SSGILM(Separate System Galerkin and Improved Levenberg-Marquardt)to be used for calculating steady vibration response of propulsion shafting with local nonlinear dynamic stiffness and hysteresis damping, is proposed. A simple example is given out and the analyses show that it is effective to calculate steady vibration response of the shafting with local nonlinear dynamic stiffness and hysteresis damping by SSGILM method. From initial response values given arbitrarily, the automatic search algorithm in SSGILM method can converge the given initial response values to the response values accorded with required accuracy quickly; nonlinear dynamic stiffness and hysteresis damping of the coupling have different effect on vibration response of the shafting at different range of frequency. At the area of close nature frequency of the shafting ,displacement amplitude of the shafting is bigger. Beyond the range, the characteristics of the coupling have restraint effect on vibration of the shafting. 相似文献
5.
Based on Melan's theorem, the symmetric Galerkin boundary element method (SGBEM) is used to discretize two dimensional structures and a computational formulation of structural limit analysis is established. The self equilibrium stress field is constructed by linear combination of several basic vectors, which are the stress differences between different iteration steps at the same increment using the traditional elastoplastic incremental method. Then the complex method is used to solve the nonlinear programming directly, so that the lower bound load multiplier of two dimensional structures is obtained. The validation of the present method has been confirmed by some numerical examples. 相似文献
6.
LARGE DEFLECTION OF A CIRCULAR PLATE ON PASTERNAK FOUNDATION UNDER A CONCENTRATED LOAD AT THE CENTER
Liu Dong Liu Longquan 《保鲜与加工》1992,(4)
Based on Karman's nonlinear foundamental differential equations, the new method combines perturbation method with integral equation method is forward to solve nonlinear bending of a clamped circular plate on Pasternak foundation under a concentrated load at the center. This method is simple and easy to use. The numerical results show that the present solution is reliable. 相似文献
7.
In this paper, we propose a method to solve the problems with stochastic nonlinear and point to point architecture of the wind turbines. The proposed method presents an open motion control architecture and a linearized torque control system based on power curve LUT. We reference the PLCopen motion control standard that is used to design the linearized torque and pitch systems of the wind turbines. This proposes a new methodology for the main controller design and the system integration of wind turbines. 相似文献
8.
An interval relaxation method to solve system of nonlinear equations is discussed in this paper.The conditions is weaker than the related reference.But the conclusion is thesame.Besides,two sufficient conditions are given for the existence of solutions.A speed comparasiontheorem is prsented,too.Finally,an illustrative example is also given. 相似文献
9.
特大增量步算法（LIM）是一种基于力法和广义逆矩阵理论的迭代算法,在简单桁架和刚架非线性初步应用中,达到相同计算精度下有同等甚至超过位移有限元的计算效率。针对工程中的复杂杆系结构,利用平衡与协调的对偶性,探讨LIM在复杂平面框架结构中的应用,建立了平面框架结构的LIM基本方程,提出了针对典型支座约束以及组合结点的处理方法。该处理方法的线弹性问题算例表明,与位移有限元相比具有至少同等的精度和相当的计算效率。在支座本身不考虑塑性的情况下,该处理方法同样适用于弹塑性问题,为LIM在复杂杆系结构的弹塑性分析中奠定了基础。 相似文献
10.
The varied-axial force beam-column is widely used in practice. Unlike the academic method, the numerical method is usually used only to solve its stability problem, but not to give the general answer a series of problems for beam-column. In this paper, firstly, a new conception of dimensionless beam column is presented. Secondly, based on the column deflection curve (CDC) method, the calculation formula for critical load of variable-axial force beam-column is derived. Thirdly, the numerical results under axial symmetric load are derived. Finally, the interaction formula on the critical load of beam-column under concentrated axial load, even distributed axial load and triangular distributed axial load and under these loads acted simultaneously are proposed respectively. The method given in this paper expands the application of CDC. 相似文献
11.
This paper deals with the nonlinear system of equations algorithm for convex nonlinear programming problems with equality constraints.We use the optimatily conditions for programming problem with equality constraints and then estabish a nonlinear system of equations.Finally we solve these to get optimal solution of nonlinear programming problems. 相似文献
12.
Yang Chunmei Hu Yisu Xin Yide 《保鲜与加工》1998,(6):73-78
It is an important subject to solve numerically the problems of anisotropic unsteady seepage flow.This paper presents a numerical method for computing the anisotropic_orthotropic unsteady seepage flow with BEM.The paper introduces the so_called boundary_only technique to solve time dependent problem.The Volume domain integral is voided by using the Green formula again.Several numerical examples are presented. 相似文献
13.
WANG Kai _ rong 《保鲜与加工》1999,(4):98-101105
In this paper,based on reference a method to solve the problem with equality constraints is given.A new approach for solving these problems is obtained,the number of dimensions of corresponding system or equations is less than that of the classic Lagrangian multiplier approximation.Using nonlinear equality constraints,the approximate algorithm is obtained.Moreover,the numerical difficulty is reduced by means of the new algorithm. 相似文献
14.
A symmetric successive over ralaxation preconditioned conjugate gradient method is used to calculate nonlinear electromagnetic field. The storage and the computer time of the method discussed hfire are compared with those of Newton's iteration. 相似文献
15.
Yue Hong Zheng Tikuan 《保鲜与加工》1989,(1):58-65
Being a kind of MWR, the orthogonal colloacation method can
be conveniently used to reduce the initial-boundary value problems of the partial differential equations to initial value problems of ordinary differential equations. In this paper, the orthogonal collocation method is introduced in detail and by using it the dynamic characteristics of a steam-water heater are investigated. 相似文献
16.
There are obvious geometric nonlinear mechanical characteristics in new type arch bridge with diagonal web cables. Meanwhile, the convergence of the existing arch axis iterative optimization method is not good. In order to solve new type arch bridge axis iteration convergence problem considering geometric nonlinear mechanical analysis, an arch axis iteration optimization method was proposed based on the iteration basis finite element model with two hinge arch model in main arch ring. A 600m span arch bridge with diagonal web cables was selected as an example to test the convergence performance and applicability of proposed method. The results showed that the bending moment of proposed method had better distribution along arch span, and it is about 35% smaller in maximum bending moment, 17% smaller in minimum bending moment and 23% smaller in bending strain energy compared to the results of linear iteration optimization method. Convergence analysis results demonstrated that proposed method had better iteration performance than the existing method. Meanwhile, different initial arch axis can converge to stable results. 相似文献
17.
Based on the discussion of the simulation for the cable prestress, the rigidity theory was used to identify the geometrical dimensions of semi-rigid structures in zero state. When the structural geometry in initial state is given, the geometrical dimension in zero state is determined by the initial prestress distribution. The contribution-matrix method is firstly applied to get the initial lack of fit. However, the influencing factor of initial lack of fit on the displacement of control point is linear superposition, that is, the structural response is linear, and it is irreconcilable with the geometry nonlinear of semi-rigid structure. In order to reduce the error of nonlinear structural response, the influencing factor in the contribution-matrix method is revised, and modified contribution-matrix method is put forward. Programs by ANSYS parameter design language APDL are worked out for the form-finding analysis of beam-string structure of a practical project. The numerical results show that the modified contribution-matrix method reduces the errors of the assumption of structural linear response. And it can be applied to the form-finding of semi-rigid structures with small stiffness. 相似文献
18.
The general nonlinear programming with linear constraints was investigated. In the algorithm, the method of contributing set was used. Comparing with the general contributing set method, the descending dimension method was used to solve the sub-problem with equality constraints in iterative procedure and the problem with inequality constraints. The algorithm is effective by the numerical test. Finally, it was proved that the iteration points are descending, when the objective functions are convex. 相似文献
19.
This paper briefly describes elasticity theory with different moduli and research progress in recent twenty years,analyzes computational results respectively from these two theories to all kinds of engineering structures and concludes that applying different moduli theory to solve some engineering components conforms to the real mechanics performance.This paper also deals with the differences between analytical solution and numerical one.Though finite element method is an effective measure to solve these nonlinear problems,seeking analytical solutions is still a difficulty and goal for some problems. 相似文献
20.
The authors introduce a sort of novel adaptive penalty gene, transform the constrained problem into unconstrained problems. An solution is given for this unconstrained problem with genetic algorithm, and then it is used as initial values for the constrained variable metric method to get precise solution. The numerical experiments illustrate that this hybrid genetic algorithm is more efficient than the genetic algorithm, and at most situations globally optimal solution can be gotten. 相似文献