Power flow analysis of built-up plate structures using the dynamic stiffness method

Abstract

The dynamic stiffness method (DSM) in our recent paper, which can consider both in-plane and out-of-plane vibrations simultaneously, is formulated to investigate the power flow characteristics of built-up plate structures. Prior to power flow analysis, comprehensive validation works on our DSM are performed so as to better exhibit its numerical capabilities. Power input and power transmission within a two-plate structure are then analyzed by following the context of in-plane and out-of-plane vibrations. In addition, three vibration transmission paths within a multiple plate structure are characterized in terms of power flow densities, which can provide better physical insights in vibration transmission within complex plate structures. Compared to power flow analysis based on the well-known reception/mobility method, our approach is strongly recommended for the dynamics of built-up structures since it can assemble the overall stiffness matrix in a straightforward manner like that in the conventional finite element technique.

Dynamic stiffness formulation for the vibrations of stiffened plate structures with consideration of in-plane deformation

“…Recently, dynamic stiffness method (DSM) has gained increasingly intense attention from worldwide researchers due to its exclusively remarkable features compared to many analytical and/or numerical methods (Danial et al., 1996; Bercin and Langley, 1996; Kevorkian and Pascal, 2001; Casimir et al., 2005; Boscolo and Banerjee, 2011, 2012, 2014; Fazzolari, 2013, 2014; Tounsi et al., 2014; Kolarevic et al., 2015; Nefovska-Danilovic and Petronijevic, 2015; Ghorbel et al., 2015, 2016; Li et al., 2016; Wu et al., 2017), which has great potential to be a promising alternative in modeling the dynamics of stiffened structures. Compared to conventional numerical techniques such as the finite element method (FEM), the dynamic stiffness method has some well-recognized features, one of which lies in that fact that it can provide adequate accurate results even at high frequency, such as 20,000 Hz, with only minimum discretization requirements (Nefovska-Danilovic and Petronijevic, 2015).…”

Analysis of Tire Acoustic Cavity Resonance Energy Transmission Characteristics in Wheels Based on Power Flow Method

“…TACR energy propagates from the tire cavity to the wheel, ultimately reaching the car cabin. As for the investigation of the energy propagation in a structure, the structural power flow method is very helpful [17][18][19] and can be used to describe the vibration energy distribution. Bolognani et al [20] studied the power flow of a coupled cylindrical shell-plate structure with four types of coupling springs.…”

Extension of the Wittrick-Williams Algorithm for Free Vibration Analysis of Hybrid Dynamic Stiffness Models Connecting Line and Point Nodes

“…Secondly, there is a comprehensive group of different elements in DSM, and importantly, the elements can be assembled directly to model complex builtup structures. When the analytical DSM is applied to modal analysis, there are many eigenvalues solution techniques, such as the determinant method [59][60][61][62][63]. However, the determinant method is inefficient, and some natural frequencies may be missed.…”