Random Vibration Suppression of Non-Uniform Curved Beams Using Optimal Tuned Mass Damper

2007 ◽  
Author(s):  
F. Yang ◽  
R. Sedaghati ◽  
Ebrahim Esmailzadeh
Keyword(s):  
Vibration Suppression ◽  
Transportation Systems ◽  
Structural Vibration ◽  
Element Formulation ◽  
Curved Beam ◽  
Curved Beams ◽  
Tuned Mass Dampers ◽  
Analysis And Design ◽  
Structural Design Optimization ◽  
Beam Type

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.

Optimal Vibration Control of Flexible Structures Using Multiple Tuned Mass Dampers

2009 ◽  
Author(s):  
Fan Yang ◽  
Ramin Sedaghati ◽  
Ebrahim Esmailzadeh
Keyword(s):  
Finite Element ◽  
Vibration Suppression ◽  
Flexible Structures ◽  
Beam Theory ◽  
Optimization Procedure ◽  
Structural Vibration ◽  
Element Formulation ◽  
Tuned Mass Dampers ◽  
Beam Type ◽  
Multiple Tuned Mass Dampers

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.

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
Keyword(s):  
Finite Element ◽  
Timoshenko Beam ◽  
Vibration Suppression ◽  
Structural Response ◽  
Tuned Mass Damper ◽  
Structural Vibration ◽  
Design Parameters ◽  
Element Formulation ◽  
Analysis And Design ◽  
Mass Damper

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.

Multi-Tuned Optimum Vibration Absorbers for Curved Beams

2009 ◽  
Author(s):  
Fan Yang ◽  
Ramin Sedaghati ◽  
Ebrahim Esmailzadeh
Keyword(s):  
Optimum Design ◽  
Vibration Suppression ◽  
Equations Of Motion ◽  
Optimization Technique ◽  
Tuned Mass Damper ◽  
Design Parameters ◽  
Curved Beam ◽  
Curved Beams ◽  
Mass Damper ◽  
Beam Type

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.

Modeling Large Deflections of Initially Curved Beams in Compliant Mechanisms Using Chained Beam-Constraint-Model

2018 ◽  
Author(s):  
Guimin Chen ◽  
Fulei Ma ◽  
Guangbo Hao ◽  
Weidong Zhu
Keyword(s):  
Cross Sections ◽  
Compliant Mechanisms ◽  
Accurate Method ◽  
Curved Beam ◽  
Curved Beams ◽  
Nonlinear Load ◽  
Circular Arc ◽  
Analysis And Design ◽  
Discretization Schemes ◽  
Constraint Model

Understanding and analyzing large and nonlinear deflections is one of the major challenges of designing compliant mechanisms. Initially curved beams can offer potential advantages to designers of compliant mechanisms and provide useful alternatives to initially straight beams. However, the literature on analysis and design using such beams is rather limited. This paper presents a general and accurate method for modeling large planar deflections of initially curved beams of uniform cross-sections, which can be easily adapted to curved beams of various shapes. This method discretizes a curved beam into a few elements and models each element as a circular-arc beam using the beam constraint model (BCM). Two different discretization schemes are provided for the method, among which the equal discretization is suitable for circular-arc beams and the unequal discretization is for curved beams of other shapes. Compliant mechanisms utilizing initially curved beams of circular-arc, cosine and parabola shapes are modeled to demonstrate the effectiveness of CBCM for initially curved beams of various shapes. The method is also accurate enough to capture the relevant nonlinear load-deflection characteristics.

scholarly journals Vibration Suppression of a Cantilever Plate Using Magnetically Multimode Tuned Mass Dampers

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Jae-Sung Bae ◽  
Jung-Sun Park ◽  
Jai-Hyuk Hwang ◽  
Jin-Ho Roh ◽  
Bong-do Pyeon ◽  
...  
Keyword(s):  
Vibration Suppression ◽  
Structural Vibration ◽  
Design Parameters ◽  
Cantilever Plate ◽  
Solar Panels ◽  
Tuned Mass Dampers ◽  
Torsion Mode ◽  
Bending Mode ◽  
Mass Damper ◽  
Eddy Current Damping

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.

Finite Element Technique for the Curved Beam Analysis: In-Plate Vibration of Curved Beam With Varying Cross Section

1991 ◽  
Author(s):  
Michihiko Tanaka ◽  
Motoki Kobayashi
Keyword(s):  
Finite Element ◽  
Free Vibration ◽  
Cross Section ◽  
Element Formulation ◽  
Curved Beam ◽  
Curved Beams ◽  
Finite Element Technique ◽  
Beam Analysis ◽  
Power Series Expansions ◽  
Element Technique

Abstract The purpose of this paper is to present details of an algorithm for performing the numerical analysis of in-plane free vibration problem of curved beam by using the finite element technique. Although the finite element techniques for the straight or flat structures such as rods, beams and plates are well established, the finite element formulation for curved beam has not yet been completely discussed because of analytical complexity of the beam. The analysis of curved beam is reduced to the coupled problems of the axial and the transverse components of forces, bending moments, displacements and slopes in the beam. Sabir and Ashwell have discussed the vibrations of a ring by using the shape functions (interpolation functions) based on simple strain functions[1]. The discrete element displacement method was applied to the vibrations of shallow curved beam by Dawe[2]. Suzuki et al have presented the power series expansions method for solving free vibration of curved beams[3]. Irie et al have used spline functions to analyse the in-plane vibration of the varying cross section beams supported at one end[4].

scholarly journals Vibration suppression of structures using tuned mass damper technology: A state-of-the-art review

2021 ◽  
pp. 107754632098430
Author(s):  
Fan Yang ◽  
Ramin Sedaghati ◽  
Ebrahim Esmailzadeh
Keyword(s):  
Mathematical Modeling ◽  
Vibration Suppression ◽  
State Of The Art ◽  
Optimization Procedure ◽  
Tuned Mass Damper ◽  
Structural Vibration ◽  
Practical Realization ◽  
Reliable Operation ◽  
Mass Damper ◽  
Structural Vibration Suppression

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.

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