Scenarios in the experimental response of a vibro-impact single-degree-of-freedom system and numerical simulations

Periodic Motions in a Single-Degree-of-Freedom System Under Both an Aerodynamic Force and a Harmonic Excitation

Volume 8: 31st Conference on Mechanical Vibration and Noise ◽

10.1115/detc2019-97716 ◽

2019 ◽

Author(s):

Bo Yu ◽

Albert C. J. Luo

Keyword(s):

Numerical Simulations ◽

Analytical Approach ◽

Aerodynamic Force ◽

Excitation Frequency ◽

Harmonic Excitation ◽

Degree Of Freedom ◽

Periodic Motions ◽

Single Degree Of Freedom ◽

Single Degree ◽

Stable Period

Abstract In this paper, a semi-analytical approach was used to predict periodic motions in a single-degree-of-freedom system under both aerodynamic force and harmonic excitation. Using the implicit mappings, the predictions of period-1 motions varying with excitation frequency are obtained. Stability of the period-1 motions are discussed, and the corresponding eigenvalues of period-1 motions are presented. Finally, numerical simulations of stable period-1 motions are illustrated.

Download Full-text

The Estimation of Viscous and Coulomb Damping in Harmonically Excited Oscillators

Volume 7B: 17th Biennial Conference on Mechanical Vibration and Noise ◽

10.1115/detc99/vib-8183 ◽

1999 ◽

Author(s):

J.-W. Liang ◽

B. F. Feeny

Keyword(s):

Free Vibration ◽

Numerical Simulations ◽

Dry Friction ◽

Mechanical Vibration ◽

Degree Of Freedom ◽

Identification Algorithm ◽

Single Degree Of Freedom ◽

Coulomb Damping ◽

Single Degree

Abstract This paper proposes a simple identification algorithm for estimating both viscous and dry friction in harmonically forced single-degree-of-freedom mechanical vibration systems. The method is especially suitable for the identification of systems for which the traditional free-vibration scheme is difficult to implement. Numerical simulations are included to show the effectiveness of the proposed algorithm. A numerical perturbation study is also included for insight on the robustness of the algorithm.

Download Full-text

Effects of Clearance on Normal Mode Frequencies of a Nonsmooth System

Volume 7B: 17th Biennial Conference on Mechanical Vibration and Noise ◽

10.1115/detc99/vib-8182 ◽

1999 ◽

Author(s):

Eric A. Butcher

Keyword(s):

Linear System ◽

Numerical Simulations ◽

Normal Mode ◽

Natural Frequencies ◽

Degree Of Freedom ◽

Single Degree Of Freedom ◽

Nonsmooth System ◽

Single Degree ◽

Equivalent Linear ◽

Frequency Relation

Abstract The effects of a clearance or interference on the normal mode frequencies of a two-dof system with bilinear stiffness and without damping are investigated through various modifications of the bilinear frequency relation. First, the exact bilinear natural frequencies of a single degree-of-freedom system are analytically obtained in terms of the amount of clearance and the strength of nonlinearity, and an equivalent linear system is derived. These results are in turn used to construct three methods which approximate the bilinear frequencies for the 2-dof system in which the resulting approximate frequencies are compared with those obtained from numerical simulations. The results demonstrate how these bilinear normal mode frequencies vary with the magnitude of the clearance/interference and thus point toward the need of including such effects in methods which utilize the bilinear frequency relation.

Download Full-text

Stability analyses and numerical simulations of the single degree of freedom spring-slider system obeying the revised rate- and state-dependent friction law

Journal of Seismology ◽

10.1007/s10950-014-9434-3 ◽

2014 ◽

Vol 18 (3) ◽

pp. 637-649 ◽

Cited By ~ 2

Author(s):

Q. Fan ◽

C. Xu ◽

J. Niu ◽

G. Jiang ◽

Y. Liu

Keyword(s):

Numerical Simulations ◽

Degree Of Freedom ◽

Single Degree Of Freedom ◽

Friction Law ◽

Stability Analyses ◽

Single Degree ◽

State Dependent

Download Full-text

Identification of Structural Parameters by Wavelet Transform of Acceleration Response

Volume 6: International Symposium on Motion and Vibration Control ◽

10.1115/detc99/movic-8421 ◽

1999 ◽

Author(s):

Akira Sone ◽

Ryutaro Segawa ◽

Shizuo Yamamoto ◽

Arata Masuda ◽

Hiroaki Hata

Keyword(s):

Wavelet Transform ◽

Numerical Simulations ◽

Structural Model ◽

Structural Parameters ◽

Degree Of Freedom ◽

Acceleration Response ◽

Single Degree Of Freedom ◽

Displacement Response ◽

Single Degree ◽

Stiffness And Damping

Abstract The method to identify structural parameters of multi-degree of freedom structures by the wavelet transform of displacement response is previously proposed However, the vibration of structure is measured by the accelerometers. Therefore, if it is possible to identify structural parameters by the wavelet transform of only acceleration responses, it is very useful. In this paper, the method to identify structural parameters such as stiffness and damping by wavelet transform of acceleration responses is presented. To verify the applicability of the proposed method, numerical simulations using the single degree of freedom structure and the four-degree-of-freedom structure and the experiments using simple structural model are conducted. From both results, it has been clear that the proposed method can give the good estimation for the structural parameters.

Download Full-text