A NEW FAMILY OF MODE-SUPERPOSITION METHODS FOR RESPONSE CALCULATIONS

Date

1993-10-22

Author

AKGUN, MA

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

189
views

0
downloads

A new family of mode-superposition methods for the computation of the forced response of proportionally damped systems with and without rigid body modes is investigated. The method may be considered to be an extension of the mode-acceleration method. It allows response calculations to be done with a very small subset of the modes of the system. Numerical examples are given for systems of order 20 and 40. Execution times and number of modes required for convergence are recorded. The particular order of the method among the family which takes the shortest time is determined for the example systems. Time savings with the new method are realized compared to the existing mode-displacement and mode-acceleration methods. The method is expected to be particularly suitable for large systems.

Subject Keywords

Mechanical Engineering, Acoustics and Ultrasonics, Mechanics of Materials, Condensed Matter Physics

URI

https://hdl.handle.net/11511/64073

Journal

JOURNAL OF SOUND AND VIBRATION

DOI

https://doi.org/10.1006/jsvi.1993.1336

Collections

Department of Aerospace Engineering, Article

Suggestions

OpenMETU
Core

A NEW METHOD FOR HARMONIC RESPONSE OF NONPROPORTIONALLY DAMPED STRUCTURES USING UNDAMPED MODAL DATA Özgüven, Hasan Nevzat (Elsevier BV, 1987-09-08) A method of calculating the receptances of a non-proportionally damped structure from the undamped modal data and the damping matrix of the system is presented. The method developed is an exact method. It gives exact results when exact undamped receptances are employed in the computation. Inaccuracies are due to the truncations made in the calculation of undamped receptances. Numerical examples, demonstrating the accuracy and speed of the method when truncated receptance series are used are also presented. ...
A modal superposition method for non-linear structures Kuran, B; Özgüven, Hasan Nevzat (Elsevier BV, 1996-01-25) The dynamic response of multi-degree of freedom (MDOF) non-linear structures is usually determined by the numerical integration of equations of motion. This is computationally very costly for steady state response analysis. In this study, a powerful and economical method is developed for the harmonic response analysis of non-linear structures. In this method, the equations of motion are first converted into a set of non-linear algebraic equations, and then the number of equations to be solved is reduced by ...
A variational multiscale constitutive model for nanocrystalline materials Gürses, Ercan (Elsevier BV, 2011-03-01) This paper presents a variational multi-scale constitutive model in the finite deformation regime capable of capturing the mechanical behavior of nanocrystalline (nc) fcc metals. The nc-material is modeled as a two-phase material consisting of a grain interior phase and a grain boundary effected zone (GBAZ). A rate-independent isotropic porous plasticity model is employed to describe the GBAZ, whereas a crystal-plasticity model which accounts for the transition from partial dislocation to full dislocation m...
Direct identification and expansion of damping matrix for experimental-analytical hybrid modeling Özgen, Gökhan Osman (Elsevier BV, 2007-11-20) The theory of direct experimental identification of damping matrix based on the dynamic stiffness matrix (DSM) method is further developed in this work. Based on the relationship between the DSMs of the smaller experimental model and larger analytical model, the mathematical relationship between the damping matrices of the two models is established. Examining the relationship, two methods are developed that can be used to expand the experimental damping matrix to the size of the analytical model. Validity o...
A micro macro approach to rubber like materials Part II The micro sphere model of finite rubber viscoelasticity Christian, Miehe; Göktepe, Serdar (Elsevier BV, 2005-10-01) A micromechanically based non-affine network model for finite rubber elasticity incorporating topological constraints was discussed in Part 1 (2004. J. Mech. Phys. Solids 52, 2617-2660) of this work. In this follow-up contribution we extend the non-affine microsphere model towards the description of time-dependent viscoelastic effects. The viscoelastic network model is constructed by an additive split of the overall response into elastic equilibrium-stress and viscoelastic overstress contributions. The equi...

Citation Formats

M. AKGUN, “A NEW FAMILY OF MODE-SUPERPOSITION METHODS FOR RESPONSE CALCULATIONS,” JOURNAL OF SOUND AND VIBRATION, pp. 289–302, 1993, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64073.