Topic
Vibration
About: Vibration is a research topic. Over the lifetime, 80010 publications have been published within this topic receiving 849339 citations.
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TL;DR: Vibration measurement in both time and frequency domains along with signal processing techniques such as the high-frequency resonance technique have been covered and recent trends in research on the detection of defects in bearings have been included.
1,229 citations
TL;DR: In this paper, a closed-form analytical solution for a unimorph cantilever under base excitation based on the Euler-Bernoulli beam assumptions is presented, and the performance of the bimorph device is analyzed extensively for the short circuit and open circuit resonance frequency excitations.
Abstract: Piezoelectric transduction has received great attention for vibration-to-electric energy conversion over the last five years. A typical piezoelectric energy harvester is a unimorph or a bimorph cantilever located on a vibrating host structure, to generate electrical energy from base excitations. Several authors have investigated modeling of cantilevered piezoelectric energy harvesters under base excitation. The existing mathematical modeling approaches range from elementary single-degree-of-freedom models to approximate distributed parameter solutions in the sense of Rayleigh–Ritz discretization as well as analytical solution attempts with certain simplifications. Recently, the authors have presented the closed-form analytical solution for a unimorph cantilever under base excitation based on the Euler–Bernoulli beam assumptions. In this paper, the analytical solution is applied to bimorph cantilever configurations with series and parallel connections of piezoceramic layers. The base excitation is assumed to be translation in the transverse direction with a superimposed small rotation. The closed-form steady state response expressions are obtained for harmonic excitations at arbitrary frequencies, which are then reduced to simple but accurate single-mode expressions for modal excitations. The electromechanical frequency response functions (FRFs) that relate the voltage output and vibration response to translational and rotational base accelerations are identified from the multi-mode and single-mode solutions. Experimental validation of the single-mode coupled voltage output and vibration response expressions is presented for a bimorph cantilever with a tip mass. It is observed that the closed-form single-mode FRFs obtained from the analytical solution can successfully predict the coupled system dynamics for a wide range of electrical load resistance. The performance of the bimorph device is analyzed extensively for the short circuit and open circuit resonance frequency excitations and the accuracy of the model is shown in all cases.
1,187 citations
Book•
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01 Jan 1948
TL;DR: In this paper, the Simple Oscillator is described as a simple system with a simple unit function and a simple harmonic motion, and the case of small coupling is discussed, as well as normal modes of vibration.
Abstract: CHAPTER II THE SIMPLE OSCILLATOR 3. Free Oscillations The General Solution. Initial Conditions. Energy of Vibration 4. Damped Oscillations The General Solution. Energy Relations 5. Forced Oscillations The General Solution. Transient and Steady State. Impedance and Phase Angle. Energy Relations. Electromechanical Driving Force. Motional Impedance. Piezoelectric Crystals. 6. Response to Transient Forces Representation by Contour Integrals. Transients in a Simple System. Complex Frequencies. Calculating the Transients. Examples of the Method. The Unit Function. General Transient. Some Generalizations. Laplace Transfoms. 7. Coupled Oscillations The General Equation. Simple Harmonic Motion. Normal Modes of Vibration. Energy Relations. The Case of Small Coupling. The Case of Resonance. Transfer of Energy. Forced Vibrations. Resonance and Normal Modes. Transient Response. Problems
1,172 citations
Book•
17 Jul 2000TL;DR: In this article, the Fourier series is used to measure the response of a single-degree-of-freedom system to initial and non-periodic oscillations, respectively.
Abstract: 1 Concepts from Vibrations 2 Response of Single-Degree-of-Freedom Systems to Initial Excitations 3 Response of Single-Degree-of-Freedom Systems to Harmonic and Periodic Excitations 4 Response of Single-Degree-of-Freedom Systems to Nonperiodic Excitations 5 Two-Degree-of-Freedom Systems 6 Elements of Analytical Dynamics 7 Multi-Degree-of-Freedom Systems 8 Distributed-Parameter Systems: Exact Solutions 9 Distributed-Parameter Systems: Approximate Mathods 10 The Finite Element Method 11 Nonlinear Oscilations 12 Random Vibrations Appendix A. Fourier Series Appendix B. Laplace Transformation Appendix C. Linear Algebra
1,133 citations
TL;DR: In this paper, a crack in a structural member introduces a local flexibility that affects its vibration response, and the crack will open and close in time depending on the rotation and vibration amplitude.
1,080 citations