Free vibration analysis of rod systems using the finite element force method with extended shape functions

Authors

DOI:

https://doi.org/10.24866/2227-6858/2024-2/127-141

Keywords:

finite element force method, extended shape functions, force method, flexibility matriх, inverse mass matriх

Abstract

For free vibration analysis of rod systems formulation of the finite element force method with extended shape functions obtained by using the mode shapes of a fixed-fixed rod is proposed. Examples illustrating the accuracy of numerical solutions for three types of finite elements are given. The use of proposed approach for the space frame gave differences between numerical solutions dealt with 8 finite elements and exact results less than 5% for the first five natural frequencies.

Author Biographies

  • Huu Hieu Ngo, Peter the Great St. Petersburg Polytechnic University

    Postgraduate Student

  • Vladimir V. Lalin, Peter the Great St. Petersburg Polytechnic University

    Doctor of Engineering Sciences, Professor

  • Tu Quang Trung Le, Vietnam Atomic Energy Institute

    PhD in Sci. Tech.

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Published

2024-06-29

Issue

No. 2(59) (2024)

Section

Construction Mechanics

License

Copyright (c) 2024 Far Eastern Federal University: School of Engineering Bulletin

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
Free vibration analysis of rod systems using the finite element force method with extended shape functions. Вестник Инженерной школы ДВФУ [Internet]. 2024 Jun. 29 [cited 2024 Nov. 22];2(2(59):127-41. Available from: https://journals.dvfu.ru/vis/article/view/1117