An accurate method in structural vibration analysis

Richards, T H; Leung, Y.T.

doi:10.1016/s0022-460x(77)80019-9

Cited by 111 publications

(26 citation statements)

References 3 publications

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“…Considering the system as a waveguide, active vibration control has been achieved by wave attenuation and cancellation in many studies [15,16,31,32,33,34] . Frequency domain modeling and analysis of controllers have been carried out successfully in literatures.…”

Section: Frequency Domain Controller Designmentioning

confidence: 99%

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Viscoelastic phenomenology based structure assignment for closed-loop vibration control of a beam with sensors and actuators

Vadiraja

Mahapatra

2009

SPIE Proceedings

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In this paper we incorporate a novel approach to synthesize a class of closed-loop feedback control, based on the variational structure assignment. Properties of a viscoelastic system are used to design an active feedback controller for an undamped structural system with distributed sensor, actuator and controller. Wave dispersion properties of onedimensional beam system have been studied. Efficiency of the chosen viscoelastic model in enhancing damping and stability properties of one-dimensional viscoelastic bar have been analyzed. The variational structure is projected on a solution space of a closed-loop system involving a weakly damped structure with distributed sensor and actuator with controller. These assign the phenomenology based internal strain rate damping parameter of a viscoelastic system to the usual elastic structure but with active control. In the formulation a model of cantilever beam with non-collocated actuator and sensor has been considered. The formulation leads to the matrix identification problem of two dynamic stiffness matrices. The method has been simplified to obtain control system gains for the free vibration control of a cantilever beam system with collocated actuator-sensor, using quadratic optimal control and pole-placement methods.

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Section: Frequency Domain Controller Designmentioning

confidence: 99%

“…We observe that, one can solve for as many as 22 unknowns using Eq. (33). Hence, successful implementation of this control synthesis will force the elastic system to behave as a viscoelastic one and hence degrees of freedom of the elastic system will follow that of the viscoelastic one.…”

Section: Closed-loop Dynamic Stiffness Matrixmentioning

confidence: 99%

Viscoelastic phenomenology based structure assignment for closed-loop vibration control of a beam with sensors and actuators

Vadiraja

Mahapatra

2009

SPIE Proceedings

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“…CMS is widely used as the most mature theory among them [16][17][18]. Based on the differences between some treatments to the interface, CMS can be divided into the fixed interface component mode synthesis method, the free interface component mode synthesis method, and the hybrid component mode synthesis method.…”

Section: Introductionmentioning

confidence: 99%

Influence Factors Analysis on the Modal Characteristics of Irregularly-Shaped Bridges Based on a Free-Interface Mode Synthesis Algorithm

et al. 2017

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Abstract:In order to relieve traffic congestion, irregularly-shaped bridges have been widely used in urban overpasses. However, the analysis on modal characteristics of irregularly-shaped bridges is not exhaustive, and the effect of design parameters on modal characteristics will be deeply investigated in future studies. In this paper, a novel strategy based on a free-interface mode synthesis algorithm is proposed to evaluate the parameters' effect on the modal characteristics of irregularly-shaped bridges. First, a complicated, irregularly-shaped bridge is divided into several substructures based on its properties. Then, the modal characteristics of the overall structure can be obtained, only by a few low-order modal parameters of each substructure, using a free-interface mode synthesis method. A numerical model of a typical irregularly-shaped bridge is employed to verify the effectiveness of the proposed strategy. Simulation results reveal that the free-interface mode synthesis method possesses favorable calculation accuracy for analyzing the modal characteristics of irregularly-shaped bridges. The effect of design parameters such as ramp curve radius, diaphragm beam stiffness, cross-section feature, and bearing conditions on the modal characteristics of an irregularly-shaped bridge is evaluated in detail. Analysis results can provide references for further research into and the design of irregularly-shaped bridges.

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“…Although this method has been in existence for a long time under the name of the dynamic stiffness method, its use was limited to simple vibration studies. This method is a merger of the direct dynamic stiffness method [33][34][35] and the finite element displacement method [36]. Elements are formulated and assembled as in the standard FEM while the base functions are the frequency dependent local solutions of the equations of motion.…”

Section: Introductionmentioning

confidence: 99%

Wave spectral finite element model for the prediction of sound transmission loss and damping of sandwich panels

Mejdi¹,

Atalla

Ghinet

2015

Computers & Structures

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An accurate method in structural vibration analysis

Cited by 111 publications

References 3 publications

Viscoelastic phenomenology based structure assignment for closed-loop vibration control of a beam with sensors and actuators

Viscoelastic phenomenology based structure assignment for closed-loop vibration control of a beam with sensors and actuators

Influence Factors Analysis on the Modal Characteristics of Irregularly-Shaped Bridges Based on a Free-Interface Mode Synthesis Algorithm

Wave spectral finite element model for the prediction of sound transmission loss and damping of sandwich panels

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