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Vibration of non-ideal simply supported laminated plate on an elastic foundation subjected to in-plane stresses

机译：非理想简支叠层板在平面内应力作用下在弹性基础上的振动

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摘要

In this paper, the effect of non-ideal boundary conditions and initial stresses on the vibration of laminated plates on Pasternak foundation is studied. The plate has simply supported boundary conditions and is assumed that one of the edges of the plate allows a small non-zero deflection and moment. The initial stresses are due to in-plane loads. The vibration problem is solved analytically using the Lind-stedt-Poincare perturbation technique. So the frequencies and mode shapes of the plate with non-ideal boundary condition is extracted by considering the Pasternak foundation and in-plane stresses. The results of finite element simulation, using ANSYS software, are presented and compared with the analytical solution. The effect of various parameters like stiffness of foundation, boundary conditions and in-plane stresses on the vibration of the plate is discussed. Dependency of non-ideal boundary conditions on the aspect ratio of the plate for changing the frequencies of vibrations is presented. The relation between the shear modulus of elastic foundation and the frequencies of the plate is investigated.
机译：本文研究了非理想边界条件和初始应力对Pasternak地基上层合板振动的影响。板具有简单支持的边界条件，并假定板的边缘之一允许较小的非零挠度和弯矩。初始应力归因于平面载荷。使用Lind-stedt-Poincare摄动技术可以解析地解决振动问题。因此，通过考虑帕斯捷尔纳克基础和面内应力来提取具有非理想边界条件的板的频率和模态形状。给出了使用ANSYS软件进行有限元模拟的结果，并将其与解析解进行了比较。讨论了诸如地基刚度，边界条件和平面应力等各种参数对板振动的影响。提出了非理想边界条件对板纵横比的依赖关系，以改变振动频率。研究了弹性地基的剪切模量与板的频率之间的关系。

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  • 来源
    《Composite Structures》 |2010年第6期|1478-1484|共7页
  • 作者

    K. Malekzadeh; S.M.R. Khalili; P. Abbaspour;

  • 作者单位

    Aircraft Research Centre, Malek Ashtar University of Technology, Karaj Makhsous Rd., Tehran, Iran;

    Centre of Excellence for Research in Advanced Materials and Structures, Faculty of Mechanical Engineering, KM Toosi University of Technology, Tehran, Iran Faculty of Engineering, Kingston University, London, UK;

    Centre of Excellence for Research in Advanced Materials and Structures, Faculty of Mechanical Engineering, KM Toosi University of Technology, Tehran, Iran;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    rectangular plate; cross-ply composite; vibration; non-ideal boundary condition; pasternak foundation; in-plane stress;

    机译：矩形板交叉复合材料振动;非理想边界条件;Pasternak基金会;平面应力;

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