Nonlinear vibration analysis of L-shaped beams and their use in vibration reduction

Download

yigitcan ekici tez.pdf

Date

2022-9

Author

Ekici, Yiğitcan

Metadata

Show full item record

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

Item Usage Stats

209
views

0
downloads

In this thesis, nonlinear vibration analysis of both fixed L-shaped beam and L-shaped beam attached to a single degree of freedom (SDOF) system is performed for several cases with different structural parameters to observe the effect of these parameters. Then these beams are proposed to reduce the vibration amplitudes of certain structures, and the nonlinear effects on the dynamic responses of these structures are investigated. The nonlinear dynamic model of the L-shaped beam is obtained by using Euler-Bernoulli Beam Theory and Hamilton’s principle. The equations are simplified by disregarding the beams’ axial motions; only the transverse motions are considered in calculations. Galerkin’s method is utilized to discretize the obtained nonlinear partial differential equations into a set of nonlinear ordinary differential equations. These equations are converted into a set of nonlinear algebraic equations using Harmonic Balance Method, which are then solved numerically using Newton’s method with arc length continuation.

Subject Keywords

Nonlinear Beams, Nonlinear L-Shaped Beams, Structural Dynamics, Euler Bernoulli Beam Theory

URI

https://hdl.handle.net/11511/99552

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

Nonlinear Structural Coupling: Experimental Application Kalaycioglu, Taner; Özgüven, Hasan Nevzat (2014-02-06) In this work, the nonlinear structural modification/coupling technique proposed recently by the authors is applied to a test system in order to study the applicability of the method to real structures. The technique is based on calculating the frequency response functions of a modified system from those of the original system and the dynamic stiffness matrix of the nonlinear modifying part. The modification can also be in the form of coupling a nonlinear system to the original system. The test system used i...
Nonlinear Vibrations of a Flexible L-shaped Beam Using Differential Quadrature Method Samandari, Hamed; Ciğeroğlu, Ender (2015-02-05) Flexible L-shaped beams are integrated sub-components of several navy and space structures where overall response of the system is affected by these structures. Hence, an understanding of the dynamical properties of these structural systems is required for their design and control. Recent studies show that the dynamic response of beam like structures undergoing large deformation is nonlinear in nature where phenomenon such as jump and chaotic response can be detected. In this study, nonlinear free vibratio...
Nonlinear Vibrations of a Functionally Graded Material Microbeam with Geometric Nonlinearity Uz, Canan; Ciğeroğlu, Ender (2017-02-02) In this paper, nonlinear vibration analysis of micro scale functionally graded material (FGM) beams with geometric nonlinearity due to large deflection is studied using modified couple stress theory (MCST). MCST is a nonlocal elasticity theory which includes a material length scale parameter since the size of an atomic microstructure becomes comparable to the length of the microbeam. Equations of motion of the micro scale FGM beam are obtained by using Hamilton's principle. Nonlinear free vibrations of the ...
Nonlinear system identification and nonlinear experimental modal analysis by using response controlled stepped sine testing Karaağaçlı, Taylan; Özgüven, Hasan Nevzat; Department of Mechanical Engineering (2020-12-24) In this work, two novel nonlinear system identification methods are proposed in both the modal and spatial domains, respectively, based on response-controlled stepped-sine testing (RCT) where the displacement amplitude of the excitation point is kept constant throughout the frequency sweep. The proposed nonlinear modal identification method, which is also a nonlinear experimental modal analysis technique, applies to systems with several nonlinearities at different (and even unknown) locations (e.g. joint no...
Modeling of the nonlinear behavior of steel framed structures with semi rigid connections Sarıtaş, Afşin; Özel, Halil Fırat (null; 2015-07-21) A mixed formulation frame finite element with internal semi-rigid connections is presented for the nonlinear analysis of steel structures. Proposed element provides accurate responses for spread of inelasticity along element length by monitoring the nonlinear responses of several crosssections, where spread of inelasticity over each section is captured with fiber discretization. Each material point on the section considers inelastic coupling between normal stress and shear stress. The formulation of the ele...

Citation Formats

Y. Ekici, “Nonlinear vibration analysis of L-shaped beams and their use in vibration reduction,” M.S. - Master of Science, Middle East Technical University, 2022.