Optimal Vibration Suppression of Timoshenko Beam With Tuned-Mass-Damper Using Finite Element Method

2009 ◽  
Vol 131 (3) ◽  
Author(s):  
Fan Yang ◽  
Ramin Sedaghati ◽  
Ebrahim Esmailzadeh

In this study, the structural vibration analysis and design of a Timoshenko beam with the attached tuned-mass-damper (TMD) under the harmonic and random excitations are presented using the finite element technique. A design optimization methodology has been developed in which the derived finite element formulation of a Timoshenko beam with the attached TMD has been combined with the sequential quadratic programming optimization algorithm to find the optimal design variables of TMD in order to suppress the vibration effectively. The validity of the developed optimal TMD system design strategy has been verified through illustrative examples, in which the structural response comparisons and the sensitivity analysis of the design parameters have been presented. The results were compared with those available in literatures and very close agreement was achieved.

2021 ◽  
pp. 107754632098430
Author(s):  
Fan Yang ◽  
Ramin Sedaghati ◽  
Ebrahim Esmailzadeh

To date, considerable attention has been paid to the development of structural vibration suppression techniques. Among all vibration suppression devices and techniques, the tuned mass damper is one of the most promising technologies due to its mechanical simplicity, cost-effectiveness, and reliable operation. In this article, a critical review of the structural vibration suppression using tuned mass damper technology will be presented mainly focused on the following four categories: (1) tuned mass damper technology and its modifications, (2) tuned mass damper technology in discrete and continuous structures (mathematical modeling), (3) optimization procedure to obtain the optimally designed tuned mass damper system, and (4) active tuned mass damper and semi-active tuned mass damper with the practical realization of the tuned mass damper technologies.


Author(s):  
Paul Kakou ◽  
Oumar Barry

Abstract Considerable attention has been recently given to electromagnetic resonant shunt tuned mass damper-inerter (EH-TMDI) for simultaneous vibration mitigation and energy harvesting. However, only linear structures have been investigated. Hence, in this paper, we aim at simultaneously achieving vibration mitigation and energy harvesting for nonlinear oscillators. To do so, we attach a nonlinear electromagnetic resonant shunt tuned mass damper-inerter (NEH-TMDI) to a single degree of freedom nonlinear oscillator (Duffing Oscillator). The nonlinear oscillator is coupled to the tuned mass damper via a linear and a nonlinear spring. Both the electromagnetic and the inerter devices are grounded on one side and connected to the nonlinear vibration absorber on the other side. This is done so to relax the trade off between energy harvesting and vibration suppression. The electromagnetic transducer is shunted to a resistor-inductor circuit. The governing equations of motion are derived using Newton’s method. Numerical simulations are carried out to examine the performance of the proposed NEH-TMDI. Comprehensive parametric analyses are conducted to identify the key design parameters that render the best performance of the NEH-TMDI. The results show that selected parameters offer regions were maximum energy dissipated and maximum energy harvested coincide. The findings are very promising and open a horizon of future opportunities to optimize the design of the NEH-TMDI for superior performance.


Author(s):  
Fan Yang ◽  
Ramin Sedaghati ◽  
Ebrahim Esmailzadeh

The structural vibration suppression of beam-type structures using Tuned Mass Damper (TMD) and Multiple Tuned Mass Dampers (MTMD) technologies will be investigated in this study. A vibration suppression strategy for beam-type structures based on TMD and MTMD technologies, in which a light beam with attached masses (secondary structure) is connected to the primary structure (beam), will be presented. The beam is modeled by utilizing the Timoshenko beam theory, and then the governing differential equations of motion have been cast into the finite element form by using the Galerkin method. The derived finite element formulation of beam-type structures with the attached TMD and MTMD systems has been combined with a designed optimization procedure to find the optimum design variables in the developed TMD and MTMD systems to suppress the vibration effectively. The effectiveness of the developed methodologies is verified through an experimental study, where the structural responses for the uncontrolled structure and that with the attached optimal TMD and MTMD systems were compared.


2021 ◽  
Vol 1197 (1) ◽  
pp. 012053
Author(s):  
Rechal L. Chawhan ◽  
Nikhil H. Pitale ◽  
S.S. Solanke ◽  
Mangesh Saiwala

Abstract The aim of this paper is to study the tuned liquid damper and it’s effectivness. The tunned liquid dampers are simply tuned mass damper where the liquid (usually water) replaces the mass.Tuned liquid dampers is a water tank placed over the structure which is able to reduce the dynamic structural response subjected to stimulation through sloshing effect. The effectiveness of tuned liquid damper depends upon various parameters. Tuned liquid damper are suitable for high rise building rather than short building. The tuned liquid damper decreases effect of harmonic excitation by Dissipating the energy of excitation through sloshing phenomenon.


2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Jae-Sung Bae ◽  
Jung-Sun Park ◽  
Jai-Hyuk Hwang ◽  
Jin-Ho Roh ◽  
Bong-do Pyeon ◽  
...  

For a few decades, various methods of suppressing structural vibration have been proposed. The present study proposes and exploits an effective method of suppressing the vibration of cantilever plates similar to the solar panels of a satellite. Magnetically tuned mass dampers (mTMDs) are a tuned mass damper (TMD) with eddy current damping (ECD). We introduce the mTMD concept for the multimode vibration suppression of the cantilever plate. The design parameters of the mTMD are determined based on the parametric study of the theoretical four-degree-of-freedom model, which was derived for a cantilever plate with TMDs. Two TMDs are optimized for the first bending mode and first torsion mode of the plate, and they are verified analytically and experimentally. To increase the damping performance of the TMDs, ECD is introduced. Its damping ratios are estimated analytically and verified experimentally.


Author(s):  
F. Yang ◽  
R. Sedaghati ◽  
Ebrahim Esmailzadeh

Beam type structures have many applications in mechanical, aerospace and civil engineering fields. Due to low damping and recent trend for light weight design (especially for aerospace vehicles and transportation systems), these structures may easily vibrate in their low natural frequencies which may subsequently lead to failure of structure. Thus vibration control of these structures is a very important task which should be considered in preliminary structural design optimization. One of the engineering concerns is to design non-uniform beam type structures with changing geometry. In this study, the structural vibration analysis and design of a curved beam with attached tuned mass dampers under random excitations are presented. The finite element formulation of the curved beam with attached tuned mass dampers has been derived and combined with Sequential Quadratic Programming optimization algorithm to find optimal design variables in tuned mass dampers to minimize the vibration. Illustrative examples are provided to demonstrate the methodology.


2019 ◽  
Vol 39 (1) ◽  
pp. 21-28
Author(s):  
Xu Jian ◽  
Zhang Tong-yi ◽  
Huang Wei ◽  
Hu Ming-yi ◽  
Qin Jing-wei ◽  
...  

In this paper, machinery equipment induced structural vibration was investigated and a composite system for structure and equipment was proposed. Tuned mass damper (TMD) and active tuned mass damper (ATMD) were respectively performed for vibration control, in addition, particle swarm optimization (PSO) was utilized for pursuing an optimal active control. Numerical results confirmed that the presented active control strategy could achieve a better vibration suppression compared to TMD control. The PSO based active control also gave inspiration for improving the traditional vibration control.


Author(s):  
Fan Yang ◽  
Ramin Sedaghati ◽  
Ebrahim Esmailzadeh

Detailed investigations on the vibration suppression of beam-type structures using Multiple Tuned Mass Damper (MTMD) technology has been carried out in this study. A general curved beam has been utilized as a case study to illustrate the developed optimum design methodology. The governing differential equations of motion for the curved beam with the attached MTMD systems have been derived, and then solved using the finite element method. A hybrid optimization methodology, which combines the global optimization method based on Genetic Algorithm (GA) and the local optimization technique based on Sequential Quadratic Programming (SQP), has been developed. This has been utilized to find the optimum design parameters (damping coefficient, spring stiffness and position coordinate) of the attached Tuned Mass Damper (TMD) systems in order to suppress the vibration levels at a particular mode or several modes, simultaneously. Finally, a design principle for vibration suppression of beam-type structures using the MTMD technology has been proposed through extensive numerical investigations.


Buildings ◽  
2021 ◽  
Vol 11 (2) ◽  
pp. 74
Author(s):  
Md Motiur Rahman ◽  
Tahmina Tasnim Nahar ◽  
Dookie Kim

This paper investigates the performance of tuned mass damper (TMD) and dynamic behavior of TMD-controlled concrete structure considering the ground motion (GM) characteristics based on frequency content. The effectiveness of TMD in reducing the structural response and probability of collapse of the building frames are affected by the frequency characteristics of GMs. To attenuate the seismic vibration of the buildings, the TMD controlled building has been designed based on the modal analysis (modal frequencies and modal mass participation ratio). In this study, to investigate the performance of TMD, four different heights (i.e., 3, 5, 10, 20 stories) inelastic concrete moment-resisting frames equipped with TMDs are developed using an open-source finite element software. A series of numerical analyses have been conducted using sixty earthquakes classified into three categories corresponding to low, medium, and high-frequency characteristics of GMs. To evaluate the proposed strategy, peak lateral displacements, inter-story drift, and the probability of collapse using fragility analysis have been investigated through the structures equipped with and without TMD. The results appraise the effect of TMD and compare the seismic responses of earthquake frequency contents and the vibration control system of the inelastic building frames.


2005 ◽  
Vol 128 (1) ◽  
pp. 56-65 ◽  
Author(s):  
Lei Zuo ◽  
Samir A. Nayfeh

Whenever a tuned-mass damper is attached to a primary system, motion of the absorber body in more than one degree of freedom (DOF) relative to the primary system can be used to attenuate vibration of the primary system. In this paper, we propose that more than one mode of vibration of an absorber body relative to a primary system be tuned to suppress single-mode vibration of a primary system. We cast the problem of optimization of the multi-degree-of-freedom connection between the absorber body and primary structure as a decentralized control problem and develop optimization algorithms based on the H2 and H-infinity norms to minimize the response to random and harmonic excitations, respectively. We find that a two-DOF absorber can attain better performance than the optimal SDOF absorber, even for the case where the rotary inertia of the absorber tends to zero. With properly chosen connection locations, the two-DOF absorber achieves better vibration suppression than two separate absorbers of optimized mass distribution. A two-DOF absorber with a negative damper in one of its two connections to the primary system yields significantly better performance than absorbers with only positive dampers.


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