Analysis of power flow and transmitted energy characteristics in a V-shaped thin plate structure based on spectral element method

Abstract

Power flow is a crucial physical quantity for analyzing structural vibration based on wave theory, pivotal to elucidating wave propagation mechanisms within structures. Considering the difficulty of solution, the current applications of the Spectral Element Method (SEM) in structural response are mostly limited to coupled beams and laminated plates. This paper applies SEM to V-shaped thin plates, realizing full-frequency-band analysis with high computational efficiency and suitability for wave analysis. Taking the power flow of each component and power flow transmission loss as the analysis physical quantities, the law of elastic wave energy transmission at the junction is clarified, and vibration reduction measures are discussed from the perspective of wave propagation. The spectral element stiffness matrix is first derived, and individual element stiffness matrices are assembled via displacement transformation relations to establish the governing equation for the V-shaped thin plate’s structural response. Abaqus is employed to validate the proposed method, with systematic investigation of damping, structural angle, and plate thickness effects on power flow components and transmission loss. Results show angle and thickness significantly influence the thin plate’s dynamic properties, thereby altering power flow response characteristics and transmission loss. Damping primarily affects power flow peak response. Rational adjustment of these structural parameters enables energy transmission path optimization, offering valuable guidance for structural acoustic design.