结构分析中的广义变分原理及其应用
The Generalized Variational Principes with their Applications in Structural Analysis
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摘要: 本文将讨论在杆系结构中用待定乘数法建立广义变分原理以分析超静定桁架结构.同时导出一个对称矩阵,并给出这个矩阵的解法,从而求出各杆的内力.Abstract: This paper will chseuss the generalized variational prinetples.which the established bythe methed of undetermined multipliers in structures.and analys the statiedllyindeterminate truss.in which these principles will be used.At the same time we bring asymmetrical matrix and give speeitie sohution.thus all the internal forees of structures maybe found.
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[1] 成祥生,待定乘数法在解超静定杆系结构问题中的应用,江苏省力学会论文,(1964). [2] 成祥生.力学与实践,1,1(1979),46-47. [3] 钱伟长,《关于弹性力学的广义变分原理及其在板壳问题上的应用》,(1364). [4] 钱伟长.力学与实践.1,1(1979)16-24及1,2(1979)18-27. [5] Washizu.K.(鹫津久-郎)Variational.Methods in Elasticity and Plasticity.Pergamon.London(1968). [6] 鹫津久-郎《エネルギ原理入门》,培风豁,(1970). [7] Pian.T.H(卞学璜).,Tong.Pin(董平).,Finite element method in continuum mechanics,.Adv.in.App.Mec.,12(1972).1-53. [8] 薛大为,科学通报,20,4(1375),81. [9] Przemieniecki.J.S.Theory of Matrix Structural Analysis,McGraw-Hill Book Com.(1968). [10] Фихтенголъц Г.М.,Курс ДиФФеренииалъкосо и Инмссралъносо Исчисления.Т,I.Гостехиздат М.-Л(1949) [11] 钱伟长,《变分法及有限元》(上册),科学出版社.(1980) -
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