Vibration Analysis of Thin Plate Structures Subjected to a Moving Force Using Frequency‐Domain Spectral Element Method

Abstract

A frequency-domain spectral element method (SEM) is proposed for the vibration analysis of thin plate structures subjected to a moving point force. The thin plate structures may consist of multiple rectangular thin plates with arbitrary boundary conditions that form multispan thin plate structures, such as bridges. The time-domain point force moving on a thin rectangular plate with arbitrary trajectory is transformed into a series of stationary point forces in the frequency domain. The vibration responses induced by the moving point force are then obtained by superposing all vibration responses excited by each stationary point force. For the vibration response of a specific stationary point force, the plate subjected to the specific stationary point force is represented by four spectral finite plate elements, which were developed in the authors’ previous work. The SEM-based vibration analysis technique is first presented for single-span thin plate structures and then extended to the multispan thin plate structures. The high accuracy and computational efficiency of the proposed SEM-based vibration analysis technique are verified by comparison with other well-known solution methods, such as the exact theory, integral transform method, finite element method, and the commercial finite element analysis package ANSYS.

The Vibration Analysis Based on Experimental and Finite Element Modeling for Investigating the Effect of a Multi-Notch Location of a Steel Plate

“…Accordingly, the researcher can determine the dynamic response of the bridge deck with great precision. The research article uses modal analysis [1][2][3], integral transformation (ITM) [4,5], Galerkin [6,7], differential [8,9], and finite difference [10].…”

Reduced-Order Extended State Observer-Based Sliding Mode Control for All-Clamped Plate Using an Inertial Actuator

“…In addition, there are other factors causing vibration, such as shell vibration caused by marine propulsion shafting, coupling vibrations between traction motor and driveline and the panel fluttering caused by air flow in a narrow passage [3][4][5]. Therefore, vibration suppression has great research significance in engineering fields [6,7]. In recent years, inertial actuators have been widely pasted on the all-clamped plate as actuators of vibration suppression control, because inertial actuators can precisely suppress vibration in a broad band with rigorous structural requirements [8,9].…”

Forced Vibration Analysis of Laminated Composite Plates under the Action of a Moving Vehicle

“…Thus, researchers have studied their behavior under the action of these loadings. I Some researchers have focused their studies on analyzing the effects of moving loads on isotropic beams and plates [1][2][3][4], while others have focused on the case of moving masses [5][6][7][8]. Besides, some works are related to moving oscillators [9][10][11].…”