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 20 of 27 for “"internal resonance"”.
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A theoretical and experimental study of modal interactions in resonantly forced structures
… Each metallic structure possesses a two-to-one internal resonance, while each composite structure possesses a three-to-one internal resonance and either a two-to-one or a one-to-·one internal resonance. For the metallic structures, a weakly nonlinear analysis is used to derive the autonomous …
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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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Nonlinear oscillations under multifrequency parametric excitation
… used to carry out a general analysis, and three resonance conditions are considered in detail. First, the case in which the sum of two excitation frequencies is near two times a natural frequency, λ<sub>s</sub> + λ<sub>t</sub> <u>~</u>2Ï <sub>q</sub>, is examined. Second, the influence of an …
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Broadband Piezoelectric Energy Harvesting and Vibration Suppression Using Nonlinear Mechanisms
… when attached to a primary structure. Internal resonance is a nonlinear mechanism which can achieve wide bandwidth due to extra resonant peaks. In this thesis, a two-degree-of-freedom energy harvester is designed and fabricated, whose first two natural frequencies can be tuned to a near …
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Nonlinear vibration of beam and multibeam systems
… horizontal configuration was a subcombination internal resonance. However, for the same beam in the vertical configuration, both a subcombination internal resonance and a nonresonant modal interaction were observed to transfer energy to a low-frequency mode. The subcombination internal …
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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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A theoretical and experimental study of modal interactions in metallic and laminated composite plates
… involved the activation of a two-to-one internal resonance in the response of a metallic cantilever plate. Although the plate was excited around the frequency of its second bending mode, its response contained a contribution from its first torsional mode. The frequency ratio between the …
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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 …
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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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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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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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Mezze: A Short Story Collection-in-Progress
… of solitude and isolation have led me to an internal resonance previously unknown to me.My Capstone adviser, Tony Grooms, described my way of writing is known as "intuitive" writing. Events and characters develop on their own as the story falls onto the page. These four stories in my Capstone …
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Modal interactions in shell dynamics
… frequency of the breathing mode (i.e., primary resonance of the breathing mode) and the linear natural frequency of the breathing mode is approximately twice that of a flexural mode (i.e., two-to-one internal or autoparametric resonance). The method of multiple-time scales is used to derive a …
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Adaptation of Nontraditional Control Techniques to Nonlinear Micro and Macro Mechanical Systems
… for a certain DC voltage range, a two-to-one internal resonance might be activated between the first two modes. Due to this internal resonance, the mirror exhibits complex dynamic behavior. This behavior results in undesirable vibrations that can be detrimental to the scanner performance. …
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Nonlinear Control of Plate Vibrations
… with quadratic nonlinearities and a two-to-one internal resonance. The technique is implemented by coupling a second-order controller with the plate's response through a sensor and an actuator. Energy is exchanged between the primary structure and the controller and, near resonance, the plate's …
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The response of multidegree-of-freedom systems with quadratic and cubic nonlinearities subjected to parametric and external excitations
… Multiple Scales (MMS), is performed for numerous resonance frequencies. Emphasis is initially placed on the response of the system under parametric excitation alone. The nonresonant external and parametric excitations are then considered. Finally, responses involving both parametric and external …
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Construction of frequency-energy plots for nonlinear dynamical systems from time-series data
… been previously shown to exhibit 1:3 transient resonance capture (TRC), and the resulting FEP reflects that internal resonance with a sharper frequency estimate than is possible with the wavelet transform. Next, the algorithm is used to show that it is in fact possible to track the impulsive …
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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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