Results 181 to 190 of about 4,342 (233)

A note on eigenfrequency sensitivities and structural eigenfrequency optimization based on local sub-domain frequencies

open access: yesStructural and Multidisciplinary Optimization, 2013
Sensitivity (gradient) of a structural eigenfrequency with respect to a change in density (thickness) of a sub-domain is derived in a simple explicit form. The sub-domain is often an element of a finite element (FE) model, but may be a broader sub-domain, say with a group of elements. This simple result has many applications.
Pauli Pedersen   +2 more
exaly   +3 more sources

Shape optimization for the eigenfrequency of the plate

open access: yesGeorgian Mathematical Journal, 2017
Abstract In this paper, we consider an eigenvalue problem for the biharmonic operator that describes the transverse vibrations of the plate. Under the imposed boundary conditions, the eigenvalues of this operator are indeed eigenfrequencies of the clamped plate.
Gasimov, Yusif S.   +1 more
openaire   +3 more sources

Eigenfrequency optimization in optimal design

Computer Methods in Applied Mechanics and Engineering, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gregoire Allaire, François Jouve
exaly   +3 more sources

Eigenfrequency constrained topology optimization of finite strain hyperelastic structures

open access: yesStructural and Multidisciplinary Optimization, 2020
This paper incorporates hyperelastic materials, nonlinear kinematics, and preloads in eigenfrequency constrained density–based topology optimization. The formulation allows for initial finite deformations and subsequent small harmonic oscillations.
Anna Dalklint   +2 more
exaly   +3 more sources

The pull-in instability and eigenfrequency variations of a graphene resonator under electrostatic loading

open access: yesMathematics and Mechanics of Solids, 2022
A continuum membrane model is presented to describe the pull-in instability and eigenfrequency variations of a graphene resonator under an electrostatic loading.
Ya-Pu Zhao
exaly   +3 more sources

Multi-material topology optimization of laminated composite beams with eigenfrequency constraints [PDF]

open access: yesComposite Structures, 2014
This paper describes a methodology for simultaneous topology and material optimization in optimal design of laminated composite beams with eigenfrequency constraints. The structural response is analyzed using beam finite elements.
JOSÉ Pedro Blasques
exaly   +2 more sources

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