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Effect of Skewness on Random Frequency Responses of Sandwich Plates

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Recent Advances in Theoretical, Applied, Computational and Experimental Mechanics

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

This study presents the effect of skewness in natural frequency responses of sandwich plates. The free vibration analysis is carried out by using higher order zigzag theory (HOZT) considering random input parameters. It satisfies the transverse shear stress continuity condition and the transverse flexibility effect. The in-plane displacement throughout the thickness is assumed to vary cubically while transverse displacement is considered to vary quadratically within the core and constant at top and bottom plates. An efficient \( C_{0} \) stochastic finite element approach is developed for the implementation of proposed plate theory in the random variable surrounding. Compound stochastic effect of all input parameters is presented for the different degrees of skewness in sandwich plates. Intensive Monte Carlo simulation (MCS) is employed for solving the stochastic-free vibration equations and statistical analysis is conducted for illustration of the results. The present algorithm for sandwich plate is validated with previous literatures and it is found to be in good agreement.

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Acknowledgements

The first and second authors would like to acknowledge the financial support received from MHRD GOI during this research work.

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Authors and Affiliations

  1. Department of Mechanical Engineering, National Institute of Technology, Silchar, Silchar, India

    R. R. Kumar,  Vaishali, K. M. Pandey & S. Dey

Authors
  1. R. R. Kumar
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  2. Vaishali
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  3. K. M. Pandey
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  4. S. Dey
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Corresponding author

Correspondence to Vaishali .

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Editors and Affiliations

  1. Department of Aerospace Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, India

    B. N. Singh

  2. Department of Aerospace Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, India

    Arnab Roy

  3. Department of Aerospace Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, India

    Dipak Kumar Maiti

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Kumar, R.R., Vaishali, Pandey, K.M., Dey, S. (2020). Effect of Skewness on Random Frequency Responses of Sandwich Plates. In: Singh, B., Roy, A., Maiti, D. (eds) Recent Advances in Theoretical, Applied, Computational and Experimental Mechanics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-1189-9_2

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  • DOI: https://doi.org/10.1007/978-981-15-1189-9_2

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-1188-2

  • Online ISBN: 978-981-15-1189-9

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