Work

Finite‐Difference Reduced Transfer Matrix Method for Multibody Systems With Rotating Beams

Year: 2026

Type: article

Abstract: ABSTRACT Multibody systems with rotating beams serve as critical simplified models of core components in engineering systems; however, existing analytical and numerical methods have limitations in analyzing their complex dynamic behavior. This paper proposes the Finite‐Difference Reduced Multibody System Transfer Matrix Method (FD‐RMSTMM), which innovatively integrates the Reduced Multibody System Transfer Matrix Method (RMSTMM) with the finite‐difference method. Finite‐difference transfer matrices for planar and spatial vibrating Euler–Bernoulli beams, as well as rotating hub–beam systems, are systematically derived. The proposed approach retains the RMSTMM's advantage of a low matrix order while eliminating the cumulative errors typically associated with matrix multiplication via reduction transformations, thereby enhancing numerical stability and accuracy. The correctness of the proposed method is validated through four sets of numerical examples. Finally, this method can be applied to complex engineering systems, such as wind turbines and satellites, and has the potential to be extended to plates and shells.

Source: International journal of mechanical system dynamics

DOI: 10.1002/msd2.70095

Authors: Ziyao Ma, Hanjing Lu, Caishan Liu, Xiaoting Rui

Institutions: Peking University, Nanjing University of Science and Technology

Language: English

Topic: Dynamics and Control of Mechanical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,500

Funder: National Natural Science Foundation of China