ELASTIC COMPENSATION FINITE ELEMENT METHOD FOR PLASTIC LIMIT ANALYSIS OF A STRUCTURE SYSTEM WITH MULTI-MATERIAL
-
摘要: 弹性补偿有限元法是一种简单、高效的结构塑性极限分析方法,目前仅用于采用单一材料的结构体系中。在经典弹性补偿有限元法中引入承载比概念,并据此对算法进行了改进,既保留了算法通过结构广义应力场不断平均化获得下限荷载的基本优化思想,又融入了平均化过程按各种材料的广义强度成比例调整的新思想,结构破坏时每种材料同时趋于各自的广义强度,使算法适用于对采用多种材料的结构体系做塑性极限分析。经典算例的对比分析表明,改进算法的分析结果是收敛的、准确的和稳定的。对复杂钢框架结构的极限荷载和破坏模式分析也表明,改进算法可用于采用多种材料的实际工程结构的安全评价中。Abstract: The elastic compensation finite element method(ECFEM) is a simple and efficient method of plastic limit analysis,and it is only applicable to a commaterial structure system.An improved algorithm based on ECFEM is proposed by introducing bearing-ratio into the standard algorithm,which not only keeps the basic thought of flattening generalized stress in structure,but also leads the flattening process in proportion with generalized strength of every material.Using this method,all materials reach their generalized strength when the structure system is in its failure mode,and ECFEM can be expanded into the limit analysis of a structure system with multi-material.Contrastive analysis of some classical examples shows that the results using the algorithm are convergent,accurate and stabilizing.Furthermore,the algorithm is also verified to be feasible in safety evaluation of complicated structures by the results of limit load and failure mode.
-
[2] Lyamin AV,Sloan S W.Lower Bound Limit Analysis using Non-linearProgramming[J].International Journal for Numerical Methods inEngineering,2002,55(5):573-611. 郑颖人,赵尚毅,邓楚键,等.有限元极限分析法发展及其在岩土工程中的应用[J].中国工程科学,2006,8(12):39-61. [3] 杨强,程勇刚,赵亚楠,等.基于非线性规划的极限分析方法及其应用[J].工程力学,2004,21(2):15-19. [4] Marriott D L.Evaluation of Deformation or Load Control of StressesUnder Inelastic Conditions Using Elastic Finite Element Stress Analysis.∥Proceedings of the ASME Pressure Vessel and Piping Conference[C].Pittsburgh,Pennsylvania,1988:3-9. [5] Seshadri R,Fernando C P D.Limit Loads of Mechanical Componentsand Structures Using the Gloss R-node method[C]//Proceedings of theASMEpressure vessel and piping conference.San Diego,1991:125-134. [6] Ponter A R S,Carter K F.Limit State Solutions,Based on LinearElastic Solutions with Spatially Varying Elastic Modulus[J].ComputerMethodsin Applied Mechanics and Engineering.1997,140(3-4):237-258. [7] Mackenzie D,Boyle J T,Hamilton R.The Elastic CompensationMethodfor Limit and Shakedown Analysis:a Review[J].Journal ofStrain Analysis,2000,35(3):171-187. [8] Zhang XF,Liu Y H,Cen Z Z.Boundary Element Methods for LowerBound Limit and Shakedown Analysis[J].Engineering Analysis withBoundary Elements.2004,28(8):905-917. [9] Mackenzie D,Boyle J T.A Method of Estimating Limit Loads byIterative Elastic Analysis.ISimple examples[J].InternationalJournal of Pressure Vessels and Piping,1992,53(1):77-95. [10] Desquines J,Plancq D.In-plane Limit Moment for an Elbow LowerBound Analytical Solution and Finite Element Processing by ElasticCompensation Method[J].International Journal of Pressure Vessels andPiping,1997,71(1):29-34. [11] Plancq D,Berton MN.Limit Analysis Based on Elastic CompensationMethod of Branch Pipe Tee Connection Under Internal Pressure and Out-of-plane Moment Loading[J].International Journal of Pressure Vesselsand Piping,1998,75(11):819-825. [12] Mohamed AI,Megahed M M.Bayoumi L S.et al.Applications ofIterative Elastic Techniques for Elastic-Plastic Analysis of PressureVessels[J].Journal of Pressure Vessel Technology,1999,121(1):24-29. [13] 王飞,陈钢,刘应华,等.极限分析的弹性补偿法及其应用[J].应用力学学报,2004,21(4):147-150. [14] Criteria of the ASME Boiler and Pressure Vessel Code for Design byAnalysisin SectionⅢandⅧ,Division 2,1998(American Society ofMechanical Engineers,NewYork). [15] Hamilton R,Shi J,Mackenzie D,et al.Simplified Lower Bound LimitAnalysis of Pressurised Cylinder-Cylinder Intersections using GeneralisedYield Criteria[J].International Journal of Pressure Vessels and Piping,1996,67(2):219-226. [16] Shi J,Boyle J T,Mackenzie D et al.Approximate Limit Design ofFrames Using Elastic Analysis[J].Computers and Structures,1996,61(3):495-501. [17] Yang P,Liu Y H,Ohtakeb Y.Limit Analysis Based on A ModifiedElastic Compensation Method for Nozzle-to-cylinder Junctions[J].International Journal of Pressure Vessels and Piping,2005,82(6):770-776. [18] Chen L J,Liu Y H,Yang P,et al.Limit Analysis of StructuresContaining Flaws Based on a Modified Elastic Compensation Method[J].European Journal of Mechanics A/Solids.2008,27(3):195-209. [19] 杨绿峰,乔永平,余波.基于弹性补偿有限元法的拱桥极限分析[J].长沙交通学院院报,2008,24(1):1-5. [20] Zhang W,Yang LF.StudyonInfluence Factor of Plastic Limit AnalysisBased on Elastic Compensation Finite Element Method[C]//The TenthInternational Symposiumon Structural Engineering for Young Experts.Changsha Science Press,2008:190-195. [21] Gendy AS,Saleeb AF.Generalized yield Surface representaionsintheelastic-plastic three-dimensional analysis of frames[J].ComputersStructures,1993,49(2):351-362.
点击查看大图
计量
- 文章访问数: 92
- HTML全文浏览量: 6
- PDF下载量: 34
- 被引次数: 0