The effect of discrete viscous damping on the transverse vibration of beams

Pierson, Harry A.; Brevick, Jerald; Hubbard, Kevin M.

doi:10.1016/j.jsv.2013.03.012

Cited by 11 publications

(3 citation statements)

References 10 publications

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“…The free vibration analysis of high-rise tower with different damper or spring coefficients, support frame stiffness and support positions is complicated and time consuming. Many research studies have simplified these long and tall structures with supports as single beam supported with elastic support or viscous damper to find the optimized design parameters (De Rosa et al , 2010; Farghaly and El-Sayed, 2016; Karimpour et al , 2016; Eroglu and Tufekci, 2018; Wang, 2014; Wu and Chen, 2000; Main and Krenk, 2005; Pierson et al , 2013; Chen et al , 2015). In this paper, HTFD will be simplified as a long cantilever beam connected by a short cantilever beam with a spring or damper attached at tip, as shown in Figure 2.…”

Section: Introductionmentioning

confidence: 99%

“…Main and Krenk (2005) used the vibration characteristics of unconstrained frame and rigid constrained frame to obtain the vibration characteristics of the damped constraint frame, and determined the optimized damper parameters and position. Pierson et al (2013) proposed the vibration characteristics of spring-supported beams have been solved; however, there is no effective and simple solution for beams with damping constraints. He found that the frequency and vibration mode of a damping beam can be solved by using the modal combination method, and the optimization damper position of beam constraints and the optimization elastic support position are the same, this position is also at the zero of the second-order vibration mode of the vibration of the cantilever beam.…”

Section: Introductionmentioning

confidence: 99%

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Dynamical shakedown analysis of high-rise tower structure

Hong-tao

Peng

Liu

2021

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Purpose High-rise tower structures supported by side frame structure and viscous damper in chemical industry can produce plasticity under dynamic loads, such as wind and earthquake, which will heavily influence the long-term safety operation. This paper aims to systematically study the optimization design of these structures by free vibration and dynamic shakedown analysis. Design/methodology/approach The transfer matrix method and Euler–Bernoulli beam vibration are used to study the free vibration characteristic of the simplified high-rise tower structure. Then the extended stress compensation method is used to construct the self-equilibrated stress by using the dynamic load vertexes and the lower bound dynamic shakedown analysis for the structure with viscous damper. Using the proposed method, comprehensive parametric studies and optimization are performed to examine the shakedown load of high-rise tower with various supported conditions. Findings The numerical results show that the supported frame stiffness, attached damper or spring parameters influence the free vibration and shakedown characters of high-rise tower very much. The dynamic shakedown load is lowered down quickly with external load frequency increasing to the fundamental natural frequency of the structure under spring supported condition, while changed little with the damping connection. The optimized location and parameter of support are obtained under dynamical excitations. Research limitations/implications In this study, the high-rise tower structure is simplified as a cantilever beam supported by a short cantilever beam and a damper under repeated dynamic load, and linear elasticity for solid is assumed for free vibration analysis. The current analysis does not account for effects such as large deformation, stochastic external load and nonlinear vibration conditions which will inevitably be encountered and affect the load capacity. Originality/value This study provides a comprehensive method for the dynamical optimization of high-rise tower structure by combining free vibration and shakedown analysis.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamical shakedown analysis of high-rise tower structure

Hong-tao

Peng

Liu

2021

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“…The vibration control of beams under a moving mass/load is a particular example of control of flexible structures. This problem is generally studied in the context of bridge-vehicle/pedestrian interaction and due to particular aspects of the supporting structure dynamics many solutions proposed for vibration reduction are passive (Younesian et al., 2006; Muscolino and Palmeri, 2007; Casado et al., 2011; Raftoyiannis and Michaltsos, 2012; Pierson et al., 2013) but the background of the theoretical model allows wider practical applications, for instance, the stability conditions for catenary-pantograph systems (Lee et al., 2012) where the loss of contact creates problems of electric energy collection, or simplified models for overhead cranes dynamics. For general moving-load problems, please refer to, for example, Ouyang (2011).…”

Section: Introductionmentioning

confidence: 99%

Optimal vibration control of beams subjected to a mass moving at constant speed

Stancioiu

Ouyang

2014

Journal of Vibration and Control

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This paper studies the optimal control of vibration of a beam excited by a moving mass. One important background of this work is vehicle-bridge interaction. As this is a time-varying system, some methods suitable for time-invariant systems are not always effective and will lead to suboptimal solutions when applied. In this particular vibration problem, the terminal time instant when the moving mass leaves the beam and the moving mass as the source of excitation are known. This particularity allows this problem to be expressed in a very simple way as a fixed terminal-time optimal control problem. In this paper the limitations of the practical implementation of the control solution are discussed in relation to different performance indices and actuation strategies. Numerical results obtained by using several control methods (time-invariant, time-variant with or without bounds on the control force) are analyzed and compared. It is shown that for particular actuator locations the use of time-varying control strategy instead of a time invariant strategy is necessary. The approach of formulating the system equation in an augmented form put forward in this paper is shown to yield accurate results at lower cost than the conventional time-dependent Riccati equation method. This approach is expected to be applicable to optimal control of vibration of other more complicated time-variant systems.

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Dynamic Characterization and Vibration Performance of Polymeric Composite Structures

Singh

Khan

2022

Encyclopedia of Materials: Plastics and Polymers

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The effect of discrete viscous damping on the transverse vibration of beams

Cited by 11 publications

References 10 publications

Dynamical shakedown analysis of high-rise tower structure

Dynamical shakedown analysis of high-rise tower structure

Optimal vibration control of beams subjected to a mass moving at constant speed

Dynamic Characterization and Vibration Performance of Polymeric Composite Structures

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