Steady-State Response Analysis of Double-Beam System Based on the Reduced Multibody System Transfer Matrix Method

Double-beam systems are widely used in modeling and analyzing engineering structures. Accurately determining their steady-state response is crucial for structural design and stability analysis. The steady-state response of double-beam systems, connected by multiple discrete elastic supports, is analyzed using the linear reduced multibody system transfer matrix method. The double-beam segments and the elastic supports are considered as independent elements. The reduced transfer equations for the root marker are directly derived from the basic equations of the elastic support element. The explanation is provided on how the reduced transfer equations for the root marker of double-beam elements are derived from the transfer equations of a single beam element. Through the linear RMSTMM, boundary value problems are addressed in a recursive process, bypassing the need for successive multiplication of transfer matrices, thereby enhancing computational stability. Finally, a numerical calculation of the steady-state response of the double-beam system is carried out. This paper introduces a novel and effective method for the analysis of the steady-state response of double-beam systems.