Iterative receptance method for determining harmonic response of structures with symmetrical non-linearities

Date

1993-01-01

Author

BUDAK, E
Özgüven, Hasan Nevzat

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

66
views

0
downloads

Although there are several techniques available for the harmonic vibration analysis of non-linear systems, the application of these methods to multi-degree of freedom systems is rather limited. In this study a new method (the Iterative Receptance Method—IRM) is developed for the harmonic vibration analysis of non-linear multi-degree of freedom systems with non-linear stiffness and damping forces. Different kinds of non-linearities are covered by expressing non-linear spring and damping forces as polynomials in displacements and velocities, respectively. Quasilinear receptance matrix of a non-linear system for a given level of external forcing is determined by using the receptance matrix of the linear part of the system and a matrix representing the non-linearity in the system. An iterative algorithm is employed in the numerical solution. The iterative receptance method is also modified for an efficient dynamic analysis of structures with local non-linearities. The application of the method is demonstrated by numerical examples, and the results are found to be quite encouraging for the application of the method to practical structures with large degrees of freedom.

URI

https://hdl.handle.net/11511/39369

Journal

MECHANICAL SYSTEMS AND SIGNAL PROCESSING

DOI

https://doi.org/10.1016/0888-3270(93)90006-i

Collections

Department of Mechanical Engineering, Article

Suggestions

OpenMETU
Core

Inertial parameter design of spatial mechanisms Can, Fatih Cemal; Soylu, Reşit; Department of Mechanical Engineering (2003) In this thesis, the inertial parameters of a spatial mechanism are used in order to optimize various aspects of the dynamic behaviour of the mechanism (such as minimizing actuator torque/ force fluctuations, shaking force/moment balancing, etc.) while the effects of loads are considered as well. Here, inertial parameters refer to the mass, 6 elements of the inertia tensor and coordinates of the center of mass of the links. The concept of Force Fluctuation Number (FFN) is utilized to optimize the dynamic beh...
A Comparison of spatial modulation and spatial multiplexing systems in multipath fading channels Saygılı, Halil; Yılmaz, Ali Özgür; Department of Electrical and Electronics Engineering (2013) In this thesis, multiple antenna transmission techniques like spatial multiplexing, spatial modulation and multiple active spatial modulation are compared in multipath fading channels. Maximum likelihood sequence estimation (MLSE) based on the Ungerboeck observation model is the optimal operation for intersymbol interference channels and applied on the mentioned multiple antenna transmission strategies. The performance analysis based on Monte Carlo simulations and comparison of the computational complexity ...
QUANTAL-CLASSICAL MIXED-MODE DYNAMICS AND CHAOTIC BEHAVIOR YURTSEVER, E (1994-11-01) Dynamical behavior of a nonlinearly coupled oscillator system is studied under classical and quantal-classical mixed-mode conditions. Classically, the system displays chaos above an energy threshold. However, upon a partial quantization of the problem within a self-consistent-field formalism, the dynamics becomes highly periodic, pointing out to the smoothing process of the quantum mechanics.
Synchronization of harmonic oscillators under restorative coupling with applications in electrical networks Tuna, Sezai Emre (2017-01-01) The role of restorative coupling on synchronization of coupled identical harmonic oscillators is studied. Necessary and sufficient conditions, under which the individual systems' solutions converge to a common trajectory, are presented. Through simple physical examples, the meaning and limitations of the theorems are expounded. Also, to demonstrate their versatility, the results are extended to cover LTI passive electrical networks. One of the extensions generalizes the well-known link between the asymptoti...
Design of tunable impedance matching circuit for a GSM antenna Öztürk, Mehmet Ali; Aydın Çivi, Hatice Özlem; Koçer, Fatih; Department of Electrical and Electronics Engineering (2015) In this thesis, automatic impedance matching circuits are designed by using several tuning approaches. A typical automatic impedance matching system compensates for the impedance variations of the antenna due to the human hand and head using an electronically tunable impedance matching circuitry. Maximum output power, the linearity and efficiency of PA can be improved using automatic impedance matching circuit units. There are various tunable impedance matching circuits proposed in the literature to enhance...

Citation Formats

E. BUDAK and H. N. Özgüven, “Iterative receptance method for determining harmonic response of structures with symmetrical non-linearities,” MECHANICAL SYSTEMS AND SIGNAL PROCESSING, pp. 75–87, 1993, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39369.