In-plane and out-of-plane free vibration analysis of thin-walled box beams based on one-dimensional higher-order beam theory

Abstract

In this paper, the accurate free vibration characteristics of thin-walled box beam are discussed and the kinematic model is established by using fine shear deformation theory. The model adopts the in-plane and out-of-plane displacement fields including extension, torsion, warping and distortion, as well as the transverse shear due to bending and warping due to torsion. One-dimensional high-order beam theory is applied to the dynamic solution of thin-walled box beam, and the analytical solution of high free vibration modes of multi-deformation coupled modes under different boundary conditions is derived. The results show that warping, distortion and shear deformation play an important role in the free vibration characteristics of thin-walled box beam, and the validity of the model is verified. In addition, finite element software (ANSYS) is used for finite element simulation. The application of vibration mode in the structure design of thin-walled box beam is summarized, especially in the case of higher natural frequency. The calculation method is in good agreement with the finite element results.

Keywords:

• thin-walled box beam
• warping
• torsion
• distortion
• shear deformation
• free vibration

Additional information

Funding

No conflict of interest exits in the submission of this manuscript in this paper and manuscript is approved by all authors for publication. This research was supported by the Scientific Research Foundation of Chengdu University of Information Technology (Grant KYTZ202146) , Sichuan Science and Technology Program (Grant 2023YFN0009, Grant 2023YFG0046, Grant 2022YFN0020, Grant 2022YFG0360, Grant 2021YFN0104), Ministry of Education industry-school cooperative education project (Grant 220900882063927, Grant 220900882293657), Opening Project of International Joint Research Center for Robotics and Intelligence System of Sichuan Province (Grant JQZN2021-003, Grant JQZN2022-001), Chengdu Science and technology innovation Project (Grant 2022-YF05-01134-SN).