Vibroacoustical Analysis Based on a Multimodal Strategy: Triple Modal Synthesis

2008 ◽  
Vol 130 (3) ◽  
Author(s):  
Sébastien Besset ◽  
Louis Jézéquel

Modal synthesis methods have long been studied because the use of generalized coordinates makes it possible to reduce calculation costs. Our approach uses modes to describe each part of the assembly of several substructures, coupled with a fluid cavity. In a previous paper, we explained that ω2 developments could be used to minimize modal truncation. In the present paper, we consider a fluid-structure coupled system using a method called “triple modal synthesis.” High order developments will be made to describe the fluid part. First, two kinds of formulation will be explained: in displacement and in force. Second, calculation using finite element methods will be processed.

2007 ◽  
Vol 130 (1) ◽  
Author(s):  
S. Besset ◽  
L. Jézéquel

Modal synthesis methods have long been studied because the use of generalized coordinates makes it possible to reduce calculation costs. Our approach uses modes to describe each part of the assembly of several substructures. This method, called “Double Modal Synthesis,” is presented through primal and dual formulations. As modal truncation usually introduces a lack of precision, we will use an ω2 development if necessary. These formulations will first be explained using a continuous formulation. A finite element method will then be proposed. Another aim of the paper is to introduce formulations needed to understand the multimodal analysis methods that will be presented in a forthcoming paper.


Author(s):  
Wen Zhang ◽  
Wenliang Wang ◽  
Hao Wang ◽  
Jiong Tang

A method for dynamic analysis of flexible bladed-disk/shaft coupled systems is presented in this paper. Being independant substructures first, the rigid-disk/shaft and each of the bladed-disk assemblies are analyzed separately in a centrifugal force field by means of the finite element method. Then through a modal synthesis approach the equation of motion for the integral system is derived. In the vibration analysis of the rotating bladed-disk substructure, the geometrically nonlinear deformation is taken into account and the rotationally periodic symmetry is utilized to condense the degrees of freedom into one sector. The final equation of motion for the coupled system involves the degrees of freedom of the shaft and those of only one sector of each of the bladed-disks, thereby reducing the computer storage. Some computational and experimental results are given.


2012 ◽  
Vol 231 (14) ◽  
pp. 4694-4708 ◽  
Author(s):  
Travis M. Austin ◽  
Marian Brezina ◽  
Ben Jamroz ◽  
Chetan Jhurani ◽  
Thomas A. Manteuffel ◽  
...  

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