Construction Mechanics

Received: 07.03.2024. Revised: 20.05.2024. Accepted: 10.06.2024.

Original article

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

Ngo H.H., Lalin V.V., Le T.Q.T.

Ngo Huu Hieu, Postgraduate Student, Peter the Great St. Petersburg Polytechnic University, Saint Petersburg, Russian Federation, hieupolytech1993@gmail.com, https://orcid.org/0000-0002-7882-7062  

Lalin Vladimir Vladimirovich, Doctor of Engineering Sciences, Professor, Peter the Great St. Petersburg Polytechnic University, Saint Petersburg, Russian Federation, vllalin@yandex.ru, https://orcid.org/0000-0003-3850-424X

Le Tu Quang Trung, PhD in Sci. Tech., Vietnam Atomic Energy Institute, Ministry of Science and Technology (Hanoi, Vietnam), quangtrung1690@gmail.com, https://orcid.org/0000-0002-6547-4632 

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

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.

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

See the reference in English at the end of the article

For citation: Ngo H.H., Lalin V.V., Le T.Q.T. Free vibration analysis of rod systems using the finite element force method with extended shape functions. FEFU: School of Engineering Bulletin, 2024, no. 2(59), pp. 127–141.