Vibration Isolation of Lumped Masses Supported on Beam by Imposing Nodes Using Multiple Vibration Absorbers

Patil, Sushil S; Awasare, Pradeep J

doi:10.5539/mer.v6n1p88

Cited by 5 publications

(7 citation statements)

References 10 publications

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“…For the hybrid approach, the CPU times presented refer to the time required to solve the generalized eigenvalue problem of Equation (16) and to solve Equation (15) for the attachment forces using MATLAB's Gaussian elimination routine. Note the excellent agreement in the attachment forces obtained using the two methods presented in Table 2.…”

Section: Example 1: Hybrid Versus Fem With Various Boundary Conditionsmentioning

confidence: 99%

“…These factors make passive approaches such as vibration absorbers attractive for their simplicity. Vibration absorbers have been extensively used for the passive control of vibration in structures 1–20 . Previous work done by Cha and others has focused on enforcing nodes as a means of vibration suppression and has examined computational tuning and sensitivity analysis of such node‐inducing passive vibration absorbers 15–21 .…”

Section: Introductionmentioning

confidence: 99%

“…Solve the generalized eigenvalue problem of Equation(16) to obtain the mode shapes and natural frequencies of the nonuniform host beam.4. Exploiting the modes of vibration obtained using FEM, solveEquation(15) to determine the required attachment forces.5. Knowing the external and attachment forces, solve Equation (3) to determine the steady-state beam deflections at the attachment points.6.…”

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confidence: 99%

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Alleviating vibrations along a harmonically driven nonuniform Euler–Bernoulli beam by imposing nodes

Baltan‐Brunet,

Kopp,

Cha

2023

Int Journal of Mech Sys Dyn

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A passive approach is developed to quench excess vibration along a harmonically driven, arbitrarily supported, nonuniform Euler–Bernoulli beam with constant thickness (height) and varying width. Vibration suppression is achieved by attaching properly tuned vibration absorbers to enforce nodes, or points of zero vibration, along the beam. An efficient hybrid method is proposed whereby the finite element method is used to model the nonuniform beams, and a formulation based on the assumed modes method is used to determine the required attachment force supplied by each absorber to induce the desired nodes. Knowing the attachment forces needed to induce nodes, design plots are generated for the absorber parameters as a function of the tolerable vibration amplitude for each absorber mass. When the node locations are judiciously chosen, it is possible to dramatically suppress the vibration along a selected region of the beam. As such, sensitive instruments can be placed in this region and will remain nearly stationary. Numerical studies illustrate the application to several systems with various types of nonuniformity, boundary conditions, and attachment and node locations; these examples validate the proposed method to passively control excess vibration by inducing nodes on nonuniform beams subjected to harmonic excitations.

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Section: Example 1: Hybrid Versus Fem With Various Boundary Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Alleviating vibrations along a harmonically driven nonuniform Euler–Bernoulli beam by imposing nodes

Baltan‐Brunet,

Kopp,

Cha

2023

Int Journal of Mech Sys Dyn

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“…Which are often the most reliable engineering solution having many advantages such as wide tuning frequency band and stability. The existing research focuses on control methods and new materials [3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Self-tuning vibration absorber and the effect of its installation position on damping characteristics

Wang¹,

Dong²,

Cai³

et al. 2018

Vib. proced.

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A kind of self-tuning vibration absorber is presented. The relationship between the installation position and the vibration damping effect of the self-tuning vibration absorber is established, the influence on the damping effect is discussed. Then, on the vibration test bed, the theoretical analysis results are tested and verified. The results show that, installation position of the self-tuning vibration absorber has a significant influence on its vibration damping effect. When installed near the source location, the self-tuning vibration absorber has a better vibration damping effect. It is should be avoided in the area of vibration deterioration.

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“…For example, in order to isolate the substructure beam from vibration, variable stiffness damped absorbers are used (Patil & Awasare, 2016). A damper with porous anisotropic outer ring and the compressed oily layer is put forward for the purpose of reducing the vibration impact (Akhverdiev & Mukutadze, 2016).…”

Section: Introductionmentioning

confidence: 99%

Dynamic Characteristics of Hanging Truss Having Shape Memory Alloy Wires

Zhang¹,

Hanahara²,

Tada³

2017

MER

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In this study, we discuss the dynamics of a type of hanging truss structural system consisting of rigid and wire members, part of which are SMA (shape memory alloy) wires. This kind of truss structure has the capability of vibration isolation and absorption. Characteristics of zero compressive stiffness of wire members, SMA wire members and hanging configuration of the structure itself contribute to the effect of vibration isolation. The hysteretic loop of SMA wires plays a significant role in vibration attenuation. Mathematical models for this kind of dynamic problem are developed. Calculation process is introduced to take into account the mechanical characteristics of SMA and wire members. Dynamic characteristics are discussed; simultaneously, the effects of vibration isolation and attenuation have been confirmed. On the basis of the numerical calculations, advantages of combinations of various types of wire members, including the truss units having no bracing wires have been demonstrated.

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Vibration Isolation of Lumped Masses Supported on Beam by Imposing Nodes Using Multiple Vibration Absorbers

Cited by 5 publications

References 10 publications

Alleviating vibrations along a harmonically driven nonuniform Euler–Bernoulli beam by imposing nodes

Alleviating vibrations along a harmonically driven nonuniform Euler–Bernoulli beam by imposing nodes

Self-tuning vibration absorber and the effect of its installation position on damping characteristics

Dynamic Characteristics of Hanging Truss Having Shape Memory Alloy Wires

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