Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 17 of 17 for “"internal resonances"”.
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ON COMPUTATIONAL SYNTHESIS AND DYNAMIC ANALYSIS OF NONLINEAR RESONANT SYSTEMS WITH INTERNAL RESONANCES
This work is concerned with synthesis methods for nonlinear structures and the
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Internal Resonances in Vibration Isolators and Their Control Using Passive and Hybrid Dynamic Vibration Absorbers
… isolator performance because they neglect the internal resonances (IRs) due to the inertia of the isolator. Previous researches on the IR problem is not adequate because they only discussed this problem in terms of vibration based on single degree-of-freedom (SDOF) models. These studies did not …
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Nonlinear resonances in systems having many degrees of freedom
… superharmonic, subharmonic, combination and internal resonances in a weakly nonlinear system having many degrees of freedom. The system has cubic nonlinearities, modal linear viscous damping and is subject to harmonic excitations. The method of multiple scales, a perturbation technique, is …
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Analytical amd experimental aspects of nonlinear normal modes and nonlinear mode localization
… elements and (ii) systems possessing internal resonances. For coupled repetitive systems, NNMs are shown to provide an excellent framework by which to study the nonlinear mode localization phenomenon, wherein vibrational energy is spatially confined to a limited number of …
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Data-driven system identification of strongly nonlinear modal interactions and model updating of nonlinear dynamical systems
… strongly) nonlinear interactions in the form of internal resonances in the measured time series caused by nonlinear modal energy exchanges. Using as an example the dynamics of a cantilever beam supported by a local smooth nonlinearity, the theoretical predictions are validated by experimental …
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Dynamics of three-degree-of-freedom systems with quadratic nonlinearities
… The first system has two simultaneous two-to-one internal resonances. The second has a combination internal resonance. In both cases the response to a primary resonant excitation of the third mode is studied. The method of multiple time scales is used to obtain the equations that govern the …
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Nonlinear flexural-flexural-torsional dynamics of metallic and composite beams
… in the presence of one-to-one and/or two-to-one internal resonances. The inversion symmetry, D, symmetry, and 0(2) symmetry of the system are studied using the modulation equations. The solutions of the modulation equations may be fixed points, limit cycles, or chaotic solutions.
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Problems in nonlinear dynamics
… systems with one-to-one and three-to-one internal resonances. Cubic geometric nonlinearities are considered. The system under investigation possesses similar nonlinear normal modes for the case of One-to-one internal resonance and nonsimilar nonlinear normal modes for the case of …
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Nonlinear stochastic vibration in geometrically varying beams
… method. The solution is investigated near an internal resonance condition and the effects of higher order cumulants in the closure scheme and of additional modes to the expansion arc considered. It is shown that the second order solution is inadequate in the presence of internal resonances, …
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Numerical Simulations of the Aeroelastic Response of an Actively Controlled Flexible Wing
… may exist in nonlinear systems with two-to-one internal resonances. Both control strategies can suppress the flutter oscillations of the wing, but the nonlinear controller must be actively tuned to be effective; gust control proved to be more difficult.
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Nonlinear Vibrations of Cantilever Beams and Plates
… both in the presence and absence of a one-to-one internal resonance. Reduced-order models using Galerkin discretization are also developed to predict experimentally observed motions. A good qualitative agreement is obtained between the experimental and numerical results. Experimentally the energy …
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Active vibration isolation with a distributed parameter isolator
… isolator performance because of neglecting the internal resonances (IRs) due to the distributed mass effects in the isolator, which is especially important for lightly damped metallic isolators. Previous research on the problem of IRs is not particularly comprehensive, because it does not …
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A theoretical and experimental investigation of parametrically excited nonlinear mechanical systems
… parametric resonance in the presence of 2:1 internal resonances is investigated using the MMS. The first-order perturbation solution predicts qualitatively the stable steady-state solutions and illustrates the quenching and saturation phenomena. The reduced equations also predict a transition …
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A Theoretical and Experimental Study of Nonlinear Dynamics of Buckled Beams
… a variety of external harmonic excitations and internal resonances. We assume that the beam geometry is uniform and its material is homogeneous. We initially buckle the beam by an axial force beyond the critical load of the first buckling mode, and then we apply a transverse harmonic excitation …
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A Theoretical and Experimental investigation of Nonlinear Vibrations of Buckled Beams
There is a need for reliable methods to determine approximate solutions of nonlinear continuous systems. Recently, it has been proved that finite-degree-of-freedom Galerkin-type discretization procedures applied to some distributed-parameter systems may fail to predict the correct dynamics. By …
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Elastic wave tailoring at the macro/micro/nano- scales using intentional strongly nonlinear coupling
… (jumps), bifurcations, saturation effects, internal resonances, and chaos. In this work we harness this nonlinear behavior in the form of nonlinear coupling in acoustic waveguides. Common methods of achieving strongly nonlinear behavior are reviewed and a novel class of nonlinear 2D …
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Intentional nonlinearity in the small scale with applications to atomic force microscopy (AFM) and mass sensing
… that researchers aim to utilize include internal resonance, resonant bandwidth expansion, ultra-sensitive bifurcation frequencies associated with sudden jumps in the response, coexistence of multiple solution branches and higher harmonic generation. In this dissertation, I investigate …