Free Vibration and Buckling Analysis of Sandwich Panels with Flexible Cores Using an Improved Higher Order Theory

  • سال انتشار: 1396
  • محل انتشار: فصلنامه مکانیک جامد، دوره: 9، شماره: 1
  • کد COI اختصاصی: JR_JSMA-9-1_004
  • زبان مقاله: انگلیسی
  • تعداد مشاهده: 245
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نویسندگان

K Malekzadeh Fard

Department of Mechanical Engineering, Malek Ashtar University, Tehran, Iran

H Malek-Mohammadi

Department of Mechanical Engineering Bu-Ali Sina University, Hamedan, Iran

چکیده

In this paper, the behavior of free vibrations and buckling of the sandwich panel with a flexible core was investigated using a new improved ‎high-order sandwich panel theory. In this theory, equations of motion were formulated based on shear stresses in the core. First-order shear deformation theory was ‎applied for the procedures. In this theory, for the first time, incompatibility problem of velocity and acceleration field existing in Frostig s ‎first theory was solved using a simple analytical method. The main advantage of this theory is its simplicity and less number of equations than the ‎second method of Frostig s high-order theory. To extract dynamic equations of the core, three-dimensional elasticity theory was utilized. ‎Also, to extract the dynamic equations governing the whole system, Hamilton s principle was used. In the analysis of free vibrations, the ‎panel underwent primary pressure plate forces. Results demonstrated that, as plate pre-loads got closer to the critical buckling loads, the natural frequency of the panel tended zero. The results obtained from the present theory were in good correspondence with the ‎results of the most recent papers. 

کلیدواژه ها

Free vibration, Buckling, Plate sandwich, Flexible core, Navier’s methods

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