| 考虑水平摩阻力的弹性地基梁大变形弯曲分析 |
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| 引用本文： | 周慧,罗松南,孙丹.考虑水平摩阻力的弹性地基梁大变形弯曲分析[J].工程力学,2011(1):43-47,54. |
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| 作者姓名： | 周慧 罗松南 孙丹 |
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| 作者单位： | 湖南大学力学与航空航天学院; |
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| 摘 要： | 设水平摩阻力与垂直支承反力成正比,建立了任意对称荷载作用下有限长弹性地基梁大变形的平衡微分方程式.进行了合理的位移形函数假设,利用Galerkin方法建立非线性代数方程组,采用迭代法进行求解,得到了弹性地基梁的位移和内力解.通过实例计算可知,水平摩阻力对弹性地基梁的挠度和剪力影响很小,而对弯矩和轴力影响很大.当要考虑弹...
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| 关 键 词： | 弹性地基梁 水平摩阻力 大变形 挠度 内力 |
THE BENDING ANALYSIS OF A BEAM ON ELASTIC FOUNDATION WITH LARGE DEFLECTION INCLUDING THE EFFECTS OF HORIZONTAL FRICTION |
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| ZHOU Hui,LUO Song-nan,SUN Dan.THE BENDING ANALYSIS OF A BEAM ON ELASTIC FOUNDATION WITH LARGE DEFLECTION INCLUDING THE EFFECTS OF HORIZONTAL FRICTION[J].Engineering Mechanics,2011(1):43-47,54. |
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| Authors: | ZHOU Hui LUO Song-nan SUN Dan |
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| Affiliation: | ZHOU Hui,LUO Song-nan,SUN Dan(College of Mechanics and Aerospace,Hunan University,Changsha,Hunan 410082,China) |
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| Abstract: | The equilibrium differential equations of finite long beams on an elastic foundation under an arbitrary symmetrical load were proposed on the basis of the horizontal friction being direct proportion to the supporting force.By utilizing the Galerkin integral method and adopting the model functions of displacements,the nonlinear algebraic equations are founded.Solving the nonlinear algebraic equations by an iterative method,the solutions of the internal force and displacements are obtained.By an example,it is... |
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| Keywords: | elastic foundation beam horizontal friction large deformation deflection internal force |
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