Optimal design of TVMD with linear and nonlinear viscous damping for SDOF systems subjected to harmonic excitation

2019 ◽  
Vol 26 (10) ◽  
Author(s):  
Zhiwen Huang ◽  
Xugang Hua ◽  
Zhengqing Chen ◽  
Huawei Niu
Keyword(s):  
Optimal Design ◽  
Harmonic Excitation ◽  
Viscous Damping ◽  
Linear And Nonlinear

A Resonance Chart for Damped Vibration

1955 ◽  
Vol 59 (540) ◽  
pp. 850-852 ◽  
Author(s):  
R. E. D. Bishop
Keyword(s):  
Linear System ◽  
Convenient Method ◽  
Harmonic Excitation ◽  
Degree Of Freedom ◽  
Viscous Damping ◽  
Similar Form ◽  
Hysteretic Damping ◽  
Resonance Curves ◽  
Phase Angles

A convenient method is pointed out for calculating the response of a damped linear system with one degree of freedom to harmonic excitation. Results of such calculations are usually represented by the familiar “ resonance curves ”—one curve being plotted for each intensity of damping. These curves are not particularly convenient to use and Yates has overcome several of their defects by throwing them into a nomographic form. Yates' nomogram is based upon the concept of viscous damping and it does not give the information of a conventional set of resonance curves in that it relates to the velocity of vibration. By changing over to hysteretic damping, a nomogram of somewhat similar form may be constructed such that it gives amplitudes and phase angles of displacements while retaining the advantages, over resonance curves, of this form of representation.

Energy Balancing Method to Identify Nonlinear Damping of Bolted-Joint Interface

2016 ◽  
Vol 693 ◽  
pp. 318-323 ◽  
Author(s):  
Xin Liao ◽  
Jian Run Zhang
Keyword(s):  
Dry Friction ◽  
Harmonic Excitation ◽  
Joint Interface ◽  
Damping Factor ◽  
Viscous Damping ◽  
Bolted Joint ◽  
Energy Balancing ◽  
Stick Slip ◽  
Non Linear ◽  
Linear Damping

The interface of bolted joint commonly focuses on the research of non-linear damping and stiffness, which affect structural response. In the article, the non-linear damping model of bolted-joint interface is built, consisting of viscous damping and Coulomb friction. Energy balancing method is developed to identify the dry-friction parameter and viscous damping factor. The corresponding estimation equations are acquired when the input is harmonic excitation. Then, the vibration experiments with different bolted preloads are conducted, from which amplitudes in various input levels are used to work out the interface parameters. Also, the fitting curves of dry-friction parameters are also obtained. Finally, the results illustrate that the most interface of bolted joint in lower excitation levels occurs stick-slip motion, and the feasibility of the identification approach is demonstrated.

Nonlinear problems of structural mechanics. Methods of optimal design of structures

2021 ◽  
Author(s):  
Boris Tuhfatullin
Keyword(s):  
Optimal Design ◽  
Steel Frames ◽  
Nonlinear Problems ◽  
Structural Mechanics ◽  
Linear And Nonlinear Programming ◽  
Several Variables ◽  
Construction Mechanics ◽  
Flat Steel ◽  
Linear And Nonlinear ◽  
Modern Technologies

The textbook discusses methods of optimal design of structures, including methods for minimizing the functions of one and several variables; methods for solving linear and nonlinear programming problems; examples of optimal design of flat steel frames with elements made of rolled and composite I-beams. It is intended for students studying in the specialty 08.05.01 "Construction of unique buildings and structures", undergraduates studying in the training program 08.04.01.24 "Modern technologies of design and construction of buildings and structures", studying the discipline "Nonlinear problems of structural mechanics", as well as for postgraduates of the direction 08.06.01 " Engineering and construction technologies. Construction of buildings and structures", studying the discipline "Construction Mechanics".

scholarly journals Stability of suspension bridge I: Aerodynamic and structural damping

1998 ◽  
Vol 4 (1) ◽  
pp. 73-98 ◽  
Author(s):  
N. U. Ahmed ◽  
H. Harbi
Keyword(s):  
Numerical Simulation ◽  
Decay Rate ◽  
Dynamic Models ◽  
Relative Effectiveness ◽  
Suspension Bridge ◽  
Viscous Damping ◽  
Structural Damping ◽  
High Wind ◽  
Linear And Nonlinear ◽  
The Stability

In this paper we consider a few dynamic models of suspension bridge described by partial differential equations with linear and nonlinear couplings. We study analytically the stability properties of these models and the relative effectiveness of aerodynamic and structural damping. Increasing aerodynamic or structural damping indefinitely does not necessarily increase the decay rate indefinitely. In view of possible disastrous effects of high wind, structural damping is preferable to aerodynamic (viscous) damping. These results are illustrated by numerical simulation.

High-Frequency Dynamic Overshoot in Linear and Nonlinear Periodic Media

2016 ◽  
Vol 12 (1) ◽  
Author(s):  
Yijing Zhang ◽  
Alexander F. Vakakis
Keyword(s):  
High Frequency ◽  
Harmonic Excitation ◽  
Strong Nonlinearity ◽  
Periodic Media ◽  
Elastic Foundations ◽  
Linear Elastic ◽  
Analytical Approximations ◽  
Linear And Nonlinear ◽  
High Frequency Harmonic ◽  
Frequency Harmonic

We study the transient responses of linear and nonlinear semi-infinite periodic media on linear elastic foundations under suddenly applied, high-frequency harmonic excitations. We show that “dynamic overshoot” phenomena are realized whereby, due to the high-rate of application of the high-frequency excitations, coherent traveling responses are propagating to the far fields of these media; and this, despite the fact that the high frequencies of the suddenly applied excitations lie well within the stop bands of these systems. For the case of a linear one-dimensional (1D) spring-mass lattice, a leading-order asymptotic approximation in the high frequency limit of the suddenly applied harmonic excitation shows that the transient dynamic overshoot is expressed in terms of the Green's function at its free end. Then, a two-dimensional (2D) strongly nonlinear granular network is considered, composed of two semi-infinite, ordered homogeneous granular lattices mounted on linear elastic foundations and coupled by weak linear coupling terms. A high-frequency harmonic excitation is applied to one of the granular lattices—designated as the “excited lattice”, with the other lattice designated as the “absorbing” one. The resulting dynamic overshoot phenomenon consists of a “pure” traveling breather, i.e., of a single propagating oscillatory wavepacket with a localized envelope, resulting from the balance of discreteness, dispersion, and strong nonlinearity. The pure breather is asymptotically studied by a complexification/averaging technique, showing nearly complete but reversible energy exchanges between the excited and absorbing lattices as the breather propagates to the far field. Verification of the analytical approximations with direct numerical simulations is performed.

Optimal design theories of tuned mass dampers with nonlinear viscous damping

2009 ◽  
Vol 8 (4) ◽  
pp. 547-560 ◽  
Author(s):  
Lap-Loi Chung ◽  
Lai-Yun Wu ◽  
Hsu-Hui Huang ◽  
Chung-Hsin Chang ◽  
Kuan-Hua Lien
Keyword(s):  
Optimal Design ◽  
Viscous Damping ◽  
Tuned Mass Dampers ◽  
Design Theories

Comparative Study of SDOF Response between Viscous Damping and Complex Damping Model

2011 ◽  
Vol 368-373 ◽  
pp. 938-941
Author(s):  
Rui Xue Chen ◽  
Ling Yun Peng ◽  
Wei Ming Yan
Keyword(s):  
Damping Ratio ◽  
Harmonic Excitation ◽  
Viscous Damping ◽  
Natural Period ◽  
Displacement Spectra ◽  
Earthquake Records ◽  
The Difference ◽  
Velocity Spectra ◽  
Damping Model ◽  
Complex Damping

This article summarizes the work regarding the complex and viscous damping models of SDOF system. Through calculating dynamic equations based on harmonic excitation, the result is that: when the excitation's period is less than the structure natural period, the displacement, velocity, acceleration responses of the complex damping system are stronger than the latter. Further, the displacement and the velocity spectra of some representative earthquake records are provided of two models, which show the similar trend as harmonic excitation. But the absolute acceleration spectra values of the complex damping model are higher than the other one at most time. And generally with the growing damping ratio and structure natural period, the difference is more significant. Under certain earthquake records, the structure displacement spectra values may differ by 17%, the velocity values differ by 20%, the acceleration values differ by 15%.

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