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Moment Independent Sensitivity Analysis of Porous Functionally Graded Plates Subjected to Free Vibrations

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Vibration Engineering and Technology of Machinery, Volume II (VETOMAC 2021)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 153))

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Abstract

This paper presents a moment-independent sensitivity analysis of porous functionally graded plates subjected to random free vibrations. This study intends to identify the parameters that have significant impacts on the output. The FE formulation employs eight-noded isoperimetric quadratic elements. Monte Carlo simulation technique is adopted with a standard Eigenvalue problem to evaluate random natural frequencies. Power law is used to describe the distribution of material properties in these structures. The study considers elastic modulus, Poisson ratio, shear modulus, and mass density as the various random input parameters, while the outputs obtained are the first three natural frequencies. To reduce evaluation time and cost, PCE model is used as a surrogate, which is also validated to demonstrate its prediction accuracy with the MCS results. The first three probabilistic natural frequencies are depicted using statistical analyses. The outcomes obtained in this study are the first known results, and can be applied in the optimal designing of structures constructed from hybrids.

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Acknowledgements

The authors express their gratitude to the NIT Silchar, India, and the MoE, Government of India, to provide assistance during this research work.

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, NIT Silchar, Silchar, Assam, India

    Himanshu Prasad Raturi,  Vaishali, Subrata Kushari & Sudip Dey

  2. Department of Mechanical Engineering, Bihar Engineering University, Government Engineering College, Samastipur, Bihar, India

    Vaishali

  3. Department of Mechanical Engineering, Parul Institute of Engineering and Technology, Parul University, Vadodara, India

    Pradeep Kumar Karsh

Authors
  1. Himanshu Prasad Raturi
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  2. Vaishali
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  3. Subrata Kushari
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  4. Pradeep Kumar Karsh
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  5. Sudip Dey
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Corresponding author

Correspondence to Vaishali .

Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, Assam, India

    Rajiv Tiwari

  2. Department of Mechanical Engineering, B.M.S. College of Engineering, Bengaluru, Karnataka, India

    Y. S. Ram Mohan

  3. Department of Mechanical Engineering, Indian Institute of Technology Delhi, New Delhi, Delhi, India

    Ashish K. Darpe

  4. Department of Mechanical Engineering, B.M.S. College of Engineering, Bengaluru, Karnataka, India

    V. Arun Kumar

  5. Department of Mechanical Engineering, Indian Institute of Technology Patna, Patna, Bihar, India

    Mayank Tiwari

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Raturi, H.P., Vaishali, Kushari, S., Karsh, P.K., Dey, S. (2024). Moment Independent Sensitivity Analysis of Porous Functionally Graded Plates Subjected to Free Vibrations. In: Tiwari, R., Ram Mohan, Y.S., Darpe, A.K., Kumar, V.A., Tiwari, M. (eds) Vibration Engineering and Technology of Machinery, Volume II. VETOMAC 2021. Mechanisms and Machine Science, vol 153. Springer, Singapore. https://doi.org/10.1007/978-981-99-8986-7_21

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  • DOI: https://doi.org/10.1007/978-981-99-8986-7_21

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-8985-0

  • Online ISBN: 978-981-99-8986-7

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