Purpose <p>The main purpose of this paper is develop a semi-analytical model to use computationally efficient orthogonal beam-wise elastically restrained dynamic Timoshenko beam mode shapes in energy method for scrutinizing the accurate mode shapes of orthogonally stiffened Mindlin plates.</p> Method <p>The Dynamic Timoshenko trial functions are used in energy based semi-analytical Rayleigh-Ritz method to formulate Eigen value problem.</p> Results <p>The different aspect ratios of plate, plate thickness ratio, stiffener width ratio and stiffener height ratios are considered to demonstarte the model for various boundary conditions of plate for calculating frequency parameters and mode shapes.</p> Conclusion <p>The formation of elliptical and circular nodal patterns with a combination of chess-board like configurations for both lower and higher modes has been seen.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Computationally Efficient Dynamic Timoshenko Beam Modeshapes for Vibration Analysis of Stiffened Plate Via Semi-analytical Approach

  • Yogesh Verma,
  • Rupinder Singh,
  • Amrik Singh,
  • Lalit Ahuja,
  • Deepa Mudgal

摘要

Purpose

The main purpose of this paper is develop a semi-analytical model to use computationally efficient orthogonal beam-wise elastically restrained dynamic Timoshenko beam mode shapes in energy method for scrutinizing the accurate mode shapes of orthogonally stiffened Mindlin plates.

Method

The Dynamic Timoshenko trial functions are used in energy based semi-analytical Rayleigh-Ritz method to formulate Eigen value problem.

Results

The different aspect ratios of plate, plate thickness ratio, stiffener width ratio and stiffener height ratios are considered to demonstarte the model for various boundary conditions of plate for calculating frequency parameters and mode shapes.

Conclusion

The formation of elliptical and circular nodal patterns with a combination of chess-board like configurations for both lower and higher modes has been seen.