Reduction methods for the dynamic analysis of substructure models of lightweight building structures

Abstract

In the present study, different model order reduction methods were compared in terms of their effects on the dynamic characteristics of individual building components. A wide variety of methods were employed in two numerical examples, both being models of wooden floor structures, in order to draw conclusions regarding their relative efficiency when applied to models of such structures. It was observed that a comparison of the methods requires the reduced models to be exposed to realistic boundary conditions, free-free eigenvalue analyses being insufficient for evaluating the accuracy of the reduced models when employed in an assembly of substructures.

Modal characterization of additively manufactured TPMS structures: comparison between different modeling methods

“…Therefore, the frequencies up to 60 kHz are considered in this study. The reader is referred to [30] for more detailed information on the advantages and disadvantages of the modal reduction methods. Once a super element library is generated with different unit cell sizes and relative densities using CMS, these super-element models can be integrated to analyze the dynamic characteristics of the full model.…”

Study of the dynamic behavior of buildings with non-linear deformations of the foundation and soil base

“…Для зменшення кількості невідомих та врахування нелінійних властивостей ґрунтової основи застосовують методи динамічної редукції [1] з використанням підконструкцій [5] або суперелементної технології [6,7]. В роботі [8] на базі аналізу різних методів редукції перевага віддавалась методу Крейга-Бемптона [9].…”

A highly efficient method for structural model reduction

“…Model reduction is often used to quickly solve the eigenvalue problem of a structural system with a large number of degrees of freedom (DOFs). [1][2][3] Model reduction is also often used in experimental modal analysis, since the number of measured points in experiments is much less than that of DOFs in structural finite element model (FEM). [4][5][6][7] The transformation matrix in model reduction can be used to expand the measured mode shapes to the full size of structural FEM.…”