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Optimal design of nonlinear multiple tuned mass dampers with frictional mechanism : 마찰도입 비선형 다중동조질량감쇠기의 최적설계

DC Field Value Language
dc.contributor.advisor이철호-
dc.contributor.author김성용-
dc.date.accessioned2017-10-27T16:32:25Z-
dc.date.available2017-10-27T16:32:25Z-
dc.date.issued2017-08-
dc.identifier.other000000145542-
dc.identifier.urihttps://hdl.handle.net/10371/136700-
dc.description학위논문 (박사)-- 서울대학교 대학원 공과대학 건축학과, 2017. 8. 이철호.-
dc.description.abstractModern development of design techniques and material science in architectural engineering contributes to increase in demand for buildings with longer span and light weight structure. In spite of its advantageous aspects, such advances in technologies often leads to problems with undesired discomfort caused by excessive vibration. In order to help dampen the unwanted excessive vibration, a variety of relevant techniques have been investigated, among which tuned mass damper (TMD) is one of the most widely used techniques so as to control the problematic vibration.

This study first investigates the optimal solution of linear multiple tuned mass dampers (linear MTMDs, LMTMDs) of various configurations. The configurations considered in this study include the cases where the frequency ratios are linearly distributed, the damping coefficients are uniformly distributed, the mass distributions are linearly distributed, or these constraints are combined in some ways. Two different optimization techniques are employed: Nominal Performance Optimization (NPO) and Robust Performance Optimization (RPO). The NPO searches a solution that minimizes the objective function deterministically, while the RPO minimizes the mean value of the objective function, assuming that the associated structural parameters are probabilistic rather than deterministic. Further, this study provides contour maps for the root-mean-square (RMS) displacement of main structure and the largest RMS displacement of LMTMDs, which can be useful in the design process.

Next, this study seeks the optimal solution of frictional multiple tuned mass dampers (FMTMDs) in which the Coulomb-type frictional force is incorporated in either purposefully or unintentionally. In this study, four of the feasible FMTMD configurations are formulated and comparably analyzed. The investigated configurations involve: 1) no constraint on either the frequency ratios or the coefficient of friction (COF) is imposed		-
dc.description.abstract2) the frequency ratios are linearly distributed and equally spaced-
dc.description.abstract3) the COFs are identically distributed-
dc.description.abstract4) the frequency ratios are equally spaced and the COFs are identical. In order to cope with the difficulties inherent in nonlinearity of the problem, this study adopts a statistical linearization technique, which enables the complicated nonlinear force terms to be linearized in a statistical sense. Some miscellaneous considerations such as stroke limitations and design procedure are also aptly included.

This study mainly addresses RMS responses and extreme value distributions for the frictional multiple tuned mass dampers (FMTMDs). In designing of optimal FMTMD, the original nonlinear system arising from the frictional elements is replaced with an equivalent linear system by means of statistical linearization. In order to improve the accuracy for the estimation of peak distribution of MTMDs, this study exploits a statistical nonlinearization technique which replaces the nonlinear system at hand with a class of other nonlinear systems whose exact solution has been already explicitly derived. A correction factor that defines the ratio of RMS displacement between nonlinear and linear system is derived based on the results of statistical nonlinearization technique. This study also provides an explicit formula for evaluating a peak factor for frictional TMDs. The correction factor and the peak factor proposed are validated with Monte Carlo Simulation.

Several application examples of MTMDs are included in this thesis. of multiple tuned mass dampers (MTMDs). In the first section, a mechanism-based frictional pendulum tuned mass damper (FPTMD) is proposed, which contributes to overcome some shortcomings of conventional translational TMDs with viscous damping. In the second section, a numerical study is carried out to provide a design procedure of MTMDs, which covered modal analysis based on finite element method, optimal design of tuned mass dampers, and evaluating their control performance and robustness under the frequency-perturbed states. The final section presents a project in an attempt to mitigate an excessive vibration of a problematic structure. The overall process of the project includes the vibration performance evaluation, modal analysis based on finite element method and optimal design and manufacturing of tuned mass dampers.		-
dc.description.tableofcontentsChapter 1 Introduction 1
1.1 Background 1
1.2 Scope and Objectives 4
1.3 Outline of Dissertation 5
Chapter 2 Literature Review 9
2.1 Optimization Criteria and Techniques 10
2.1.1 H∞ optimization 10
2.1.2 H2 optimization 12
2.1.3 Stability maximization 13
2.2 Multiple Tuned Mass Dampers 14
2.3 TMDs on Nonlinear Structures 23
2.4 Nonlinear Tuned Mass Dampers 24
2.5 Applications and Structural Implementations 29
2.5.1 Wind-induced vibration attenuation 29
2.5.2 Seismic response mitigation 30
2.5.3 Floor vibration control 35
2.6 Other Issues 38
2.6.1 Stroke limitations 38
2.6.2 Reliability-based optimization 39
Chapter 3 Linear Multiple Tuned Mass Dampers 43
3.1 Introduction 44
3.2 Model Formulation 46
3.2.1 Governing Equations of motion 46
3.2.2 LMTMD configurations 51
3.3 Optimization Strategies 58
3.3.1 Nominal performance optimization 58
3.3.2 Robust performance optimization 60
3.4 Results and Discussion 63
3.4.1 LMTMDs designed by NPO 63
3.4.2 LMTMDs designed by RPO 72
3.4.3 Approximate solution for LMTMDγζ 78
3.5 Stroke Consideration and Design Procedure 82
3.5.1 Stroke consideration 82
3.5.2 Design procedure 84
3.6 Concluding Remarks 85
Chapter 4 Frictional Multiple Tuned Mass Dampers 87
4.1 Introduction 88
4.2 Model Formulation 91
4.2.1 Governing equations of motion 91
4.2.2 FMTMD configurations 95
4.2.3 Statistical linearization 98
4.3 Optimization Strategies 101
4.3.1 Set 1: FMTMDo and FMTMDγ 103
4.3.2 Set 2: FMTMDτ and FMTMDγτ 104
4.4 Results and Discussion 105
4.4.1 Optimal parameters 105
4.4.2 Frequency responses with optimal parameters 112
4.4.3 Input-intensity sensitivity analysis 114
4.4.4 Approximate solution for FMTMDγτ 117
4.5 Design Procedure 122
4.6 Concluding Remarks 123
Chapter 5 Extreme Value Analysis for Frictional MTMDs 125
5.1 Introduction 126
5.2 FMTMD Optimization 128
5.2.1 Governine equations of motion 128
5.2.2 Statistical linearization 132
5.2.3 Optimization strategy 135
5.3 Improved Estimation of Peak Distribution 137
5.3.1 Statistical nonlinearization 137
5.3.2 Correction factor 142
5.3.3 Peak factors 144
5.4 Model Evaluation 147
5.5 Concluding Remarks 148
Chapter 6 Applications of MTMDs 155
6.1 Frictional Pendulum Tuned Mass Dampers 156
6.1.1 Introduction 156
6.1.2 FPTMD proposed and equations of motion 158
6.1.3 Statistical linearization 165
6.1.4 Gradient-based optimization 167
6.1.5 Numerical example 171
6.1.6 Summary and conclusions 181
6.2 Vibration Attenuation of Hallway 183
6.2.1 Description of examined hallway 184
6.2.2 Design of multiple tuned mass dampers 187
6.2.3 Numerical investigation 187
6.2.4 Results and discussion 195
6.3 Project: Vibration Mitigation of Floating Café 196
6.3.1 Introduction 196
6.3.2 Description of floating café 197
6.3.3 Design of multiple tuned mass dampers 199
6.3.4 Vibration serviceability assessment 200
6.3.5 Results and discussion 202
Chapter 7 Summary and Conclusions 203
Appendices 209
Chapter A Point Estimation Method 211
Chapter B Statistical Linearization 217
B.1 Formulation 217
B.2 Solution Procedure 219
B.2.1 Error minimization 219
B.2.2 Response evaluation 221
B.3 Examples of Systems with Power-Law Damping 222
Chapter C Applying Pre-Filters 227
Bibliography 231
Abstract (in Korean) 247		-
dc.formatapplication/pdf-
dc.format.extent17887013 bytes-
dc.format.mediumapplication/pdf-
dc.language.isoen-
dc.publisher서울대학교 대학원-
dc.subjectTuned mass damper-
dc.subjectMultiple tuned mass damper-
dc.subjectFriction mechanism-
dc.subjectVibration control-
dc.subjectStatistical nonlinearization-
dc.subjectStatistical linearization-
dc.subject.ddc690-
dc.titleOptimal design of nonlinear multiple tuned mass dampers with frictional mechanism-
dc.title.alternative마찰도입 비선형 다중동조질량감쇠기의 최적설계-
dc.typeThesis-
dc.contributor.AlternativeAuthorSung-Yong Kim-
dc.description.degreeDoctor-
dc.contributor.affiliation공과대학 건축학과-
dc.date.awarded2017-08-
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