Modal superposition rules for three dimensional linear structures

Akkar, Dede Sinan


Modal identification of nonlinear substructures and implementation in structural coupling analysis
Arslan, Özge; Özgüven, Hasan Nevzat; Department of Mechanical Engineering (2008)
In this work, a new method is suggested for the modal identification of nonlinear structures and for the use of the modal data in calculating response of the nonlinear system to harmonic excitation. Nonlinearity in mechanical structures is usually encountered in connection regions. In this study, the nonlinear part of such a structure is modeled as a single nonlinear element and modal parameters of the structure are obtained as a function of displacement amplitude. Identification and modeling of nonlinear e...
Modal analysis of elastic vibrations of incompressible materials based on a variational multiscale finite element method
Codina, Ramon; Türk, Önder (null; 2019-10-04)
In this study, we extend the standard modal analysis technique that is used to approximate vibration problems of elastic materials to incompressible elasticity. In modal analysis, the second order time derivative of the displacements in the inertia term is utilized, and the problem is transformed into an eigenvalue problem in which the eigenfunctions are precisely the amplitudes, and the eigenvalues are the squares of the frequencies. While this approach is applied directly to compressible materials in dif...
Modal analysis of hysteretically damped two dimensional mechanical structures.
Okyay, Nihat; Department of Mechanical Engineering (1986)
Modal analysis of elastic vibrations of incompressible materials using a pressure-stabilized finite element method
Codina, Ramon; Türk, Önder (2022-09-01)
This paper describes a modal analysis technique to approximate the vibrations of incompressible elastic solids using a stabilized finite element method to approximate the associated eigenvalue problem. It is explained why residual based formulations are not appropriate in this case, and a formulation involving only the pressure gradient is employed. The effect of the stabilization term compared to a Galerkin approach is detailed, both in the derivation of the approximate formulation and in the error estimat...
Modal Analyses and Experimental Verifications of Joined-Wing Configurations
Alanbay, Berkan; Şahin, Melin; Canbaloglu, Guvenc (2016-01-28)
In recent days, wing kits are extensively used to convert conventional munitions into guided munitions. The wing kit integration enables munitions to gain standoff attack capability, extends their range and together with a laser guidance system, adds moving target tracking capability. Typical wing kits are usually composed of two main wings, however, some of them have a joined-wing configuration where the aft wings can support the main wings in order to increase maneuverability, range performance and struct...
Citation Formats
D. S. Akkar, “Modal superposition rules for three dimensional linear structures,” Middle East Technical University, 1995.