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A dynamic transformation method for modal synthesis
14th Structures, Structural Dynamics, and Materials Conference, 1973This paper presents a condensation method for large discrete parameter vibration analysis of complex structures that greatly reduces truncation errors and provides accurate definition of modes in a selected frequency range. A dynamic transformation is obtained from the partitioned equations of motion that relates modes not explicity in the condensed ...
EDWARD J. KUHAR, CLYDE V. STAHLE
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A Survey of Modal Synthesis Methods
SAE Technical Paper Series, 1971<div class="htmlview paragraph">Several modal synthesis procedures for the dynamic analysis of large composite structural systems are surveyed. The matrix formulation of the free-free modal synthesis procedures is presented. Also given are schematic flow charts of the analysis procedure used in three prominent methods.
Gary C. Hart +2 more
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Modal Synthesis Method for General Dynamic Systems
Journal of Engineering Mechanics, 1992A modal synthesis method is presented to calculate the lower eigenproperties of a general dynamic system divided into subsystems. The left and right eigenproperties of the subsystems associated with their equations of motion expressed in the state form are used.
L. E. Suarez, M. P. Singh
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Transient Response by Component Modal Synthesis Method
Journal of Vibration and Acoustics, 1990A method for determining the transient responses of a system is introduced. This method is an extension of the component modal synthesis technique. The transient responses of the system are computed based on the substructure modal parameters, the geometric compatibility, and the force equilibrium equations between substructures.
Eric K. L. Yee, Y. G. Tsuei
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Improved fixed interface method for modal synthesis
AIAA Journal, 1992An improved technique for synthesizing the modes obtained with fixed interface coordinates is proposed. The reduction in the size of a substructure model is achieved through a higher order mode superposition approach. For the first time, an analytical rationale for the popular Craig-Bampton-Hurty method is presented. It is shown that the Craig- Bampton-
Suarez, L. E., Singh, M. P.
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A Minimization Method for Treating Convergence in Modal Synthesis
AIAA Journal, 1974The problem of convergence in modal synthesis is solved by a minimization approach. Substructure modes corresponding to fixed-interface boundaries are considered. The Rayleigh quotient of the structure is defined in a coordinate space which includes the initial selection of substructure modes augmented by some of the unused modes.
T. K. HASELMAN, GARY C. HART
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Modal Methods in Optimal Control Synthesis
1980Efficient algorithms for solving linear smoother-follower problems with quadratic criteria are presented. For time-invariant systems, the algorithm consists of one backward integration of a linear vector equation and one forward integration of another linear vector equation.
ARTHUR E. BRYSON, W. EARL HALL
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Mode Synthesis and Quasi-modal Method
2017Modal analysis consists of superposing eigenmodes ϕ i , weighted according to the modal coordinates η i, through all modes. The modal coordinates no longer have the representation of the original physical coordinates. This chapter discusses methods to reduce the order of the system while preserving the physical coordinates as far as possible.
Osami Matsushita +4 more
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Experimental modal synthesis method for reducing car interior noise
The Journal of the Acoustical Society of America, 1996The experimental modal synthesis method has been very popular for analyzing the dynamic behavior of structures. Recently, the demand for reducing not only vibration but also noise has been increasing in the development of industrial machines. In order to deal with noise and vibration simultaneously, the structural–acoustic coupling problem must be ...
Haruki Yashiro, Akinori Iwama
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Modal synthesis: Generalization of MacNeal's method. theoretical basis
Computer Methods in Applied Mechanics and Engineering, 1985In this paper, a theoretical basis of the generalization of MacNeal's modal synthesis method [\textit{R. H. MacNeal}, A hybrid method of component mode synthesis, Comput. Struct. 1 (4) (1971)] is presented. This method allows the computation of eigenvectors and eigenfrequencies of a structure from the eigenfrequencies and modes of the subcomponents of ...
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