Vibrations of Structural Systems by Component Mode Synthesis

Hurty, Walter C.

doi:10.1061/jmcea3.0000162

Cited by 188 publications

(22 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Then, the modes of components are used in a Rayleigh-Ritz analysis to calculate approximate mode shapes of the complete system. First, Hurty [2] introduced the CMS method. Subsequently, the CMS method was developed extensively.…”

Section: Introductionmentioning

confidence: 99%

Analysis of vibration levels of large structural system with recursive component mode synthesis method: Theory and convergence

Kim

2006

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

The component mode synthesis (CMS) method has been extensively used in industries. However, industry finite-element (FE) models need a more efficient CMS method for satisfactory performance since the size of FE models needs to be increased for a more accurate analysis. Recently, the recursive component mode synthesis (RCMS) method was introduced to solve large-scale eigenvalue problem efficiently. This article focuses on the convergence of the RCMS method with respect to different parameters, and evaluates the accuracy and performance compared with the Lanczos method.

show abstract

Section: Introductionmentioning

confidence: 99%

Analysis of vibration levels of large structural system with recursive component mode synthesis method: Theory and convergence

Kim

2006

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

show abstract

“…CMS is perhaps the most widely used method in the structural dynamics community, whose history goes back to the same era of the advent of the FEM. [82][83][84][85][86][87] In recent years, improvements were realized by either adopting dual displacement and force formulations 88 or employing the residual flexibility 89 as well as infusing the residual flexibility into the classical Craig-Bampton method labeled as enhanced CMS methods, 90 and extending its use in the reduced-order modeling of multiphysics problems. 91,92 This subsection is devoted to a third potential application of the proposed DP equations of motion: a new partitioned component mode synthesis (P-CMS).…”

Section: Partitioned Component Mode Synthesismentioning

confidence: 99%

Displacement‐based partitioned equations of motion for structures: Formulation and proof‐of‐concept applications

Park

González

Park

et al. 2023

Numerical Meth Engineering

View full text Add to dashboard Cite

A new formulation for the displacement‐only partitioned equations of motion for linear structures is presented, which employs: the partitioned displacement, acceleration, and applied force (); the partitioned block diagonal mass and stiffness matrices (); and, the coupling projector (), yielding the partitioned coupled equations of motion: ). The key element of the proposed formulation is the coupling projector () which can be constructed with the partitioned mass matrix (), the Boolean matrix that extracts the partition boundary degrees of freedom (), and the assembly matrix () relating the assembled displacements () to the partitioned displacements () via . Potential utility of the proposed formulation is illustrated as applied to six proof‐of‐concept problems in an ideal setting: unconditionally stable explicit‐implicit transient analysis, static parallel analysis in an iterative solution mode; reduced‐order modeling (component mode synthesis); localized damage identification which can pinpoint damage locations; a new procedure for partitioned structural optimization; and, partitioned modeling of multiphysics problems. Realistic applications of the proposed formulation are presently being carried out and will be reported in separate reports.

show abstract

“…The issue has been around for decades and in the sixties of the last century, efforts were placed on finding options to recover the modal behaviour of large structures from the modal behaviour of their components. Hurty [1,2] and Gladwell [3] put forward the basis of component mode synthesis (CMS). The components' modes were divided into rigid-body, constraint, and normal modes, resulting into three-block mass, stiffness and damping matrices.…”

Section: Introductionmentioning

confidence: 99%