Using the structure modal superposition method and the quadratic form of radiated sound power,we divide the total sound power into the two parts: the sound power radiated by each individual mode and the sound power contributed from modal coupling.

In analysis of wind induced vibration for single-layer reticulated shell structures,it is found that there are some modes in high position of modes order with significant contribution to wind induced response,and the modal coupling effect is also need to be considered owing to the closely located modal frequencies and strong interaction of structural members.

The concept of modal strain energy is introduced and modal coupling coefficients of background response and resonance response are defined in this paper.

In order to analyze the contribution-significant modes and the mode coupling effects for the wind-induced vibrations,a Ritz-POD method is proposed for identifying the contribution-significant modes,which takes into account the vibration-participating ability of each natural mode,and the similarity between the mode and the spatial distribution of the fluctuating wind load.

Analytical approach considering modal coupling effects for buffeting resonant response of large-span roof structures;

In the equation,the background and resonant components are computed with the LRC method and the equivalent inertia force method considering modal coupling effects,respectively.

Dynamic equations were established first for the composite cantilever plates by means of Hamilton principle and the semi-Ritz analytical method and the semi-analytical expressions for the coupled modes of bending and torsion of the composite cantilever plates were derived according to its boundary conditions.

The oilpan s coupled modes are calculated by applying fluid-structure coupled FEM,when some lubricating oil remains in the oilpan.