A Method for Modifying Dynamic Properties of Undamped Mechanical Systems

Tsuei, Y. G.; Yee, Eric K. L.

doi:10.1115/1.3153068

Cited by 42 publications

(17 citation statements)

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“…2. After substituting the values of the receptances at 0.10 Hz and 0.15 Hz into (8) several two nonlinear equations are found in (9). Finally, the stiffnesses of these springs, and , are obtained by solving these two nonlinear equations numerically.…”

Section: Numerical Simulationmentioning

confidence: 99%

“…Shifting natural frequencies has been studied by a lot of researchers. Tsuei and Yee [9] presented a method based on the force response of the original dynamic system such that it provides the sensitivity and feasibility of shifting the eigen-frequency to a desired value. Ram [10] presented a strategy for enlarging a spectral gap by adding two appropriate oscillators at the proper locations.…”

Section: Introductionmentioning

confidence: 99%

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Relocation of Resonance Frequencies of Undamped Systems Adding Grounded Springs

Hüseyinoğlu¹,

Çakar²

2016

Fourth International Conference on Advances in Civil, Structural and Mechanical Engineering - CSM 2016

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Relocation of the resonance frequencies of the un-damped systems to desired values adding grounded springs is addressed. For the calculatıon of the necessary springs' stiffnesses, a method based on Sherman-Morrison (SM) formula is presented. The method uses receptances of the original system and it needs neither analytical nor modal models. Numerical simulation shows that the method is very effective.

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Section: Numerical Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Relocation of Resonance Frequencies of Undamped Systems Adding Grounded Springs

Hüseyinoğlu¹,

Çakar²

2016

Fourth International Conference on Advances in Civil, Structural and Mechanical Engineering - CSM 2016

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show abstract

“…To overcome these problems, receptances, which could be directly measured, have been adopted in many inverse dynamic problems. Tsuei and Yee (1989) presented sensitivity graphs of the modification parameters with respect to the desired frequency using the receptance of the unmodified system. In a subsequent article, Yee and Tsuei (1991) improved the method to get the necessary mass and stiffness modifications that assign natural frequencies to a viscously damped system.…”

Section: Introductionmentioning

confidence: 99%

Receptance-based frequency assignment for assembled structures

Zhang

Ouyang

2020

Journal of Vibration and Control

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For engineering structures, there is a strong need to assign natural frequencies to achieve desired dynamic performance. This study proposes a receptance-based frequency assignment method for assembled structures. Very often, the substructures involved are not allowed or are difficult to change. This method uses the links between the substructures as targets of structural modifications and determines the structural properties of the links that assign the desired frequencies cast as an optimisation problem. These links could be either simple discrete structural components such as masses and springs or complex continuous structures. Only a few receptances of the substructures are required in this method, which can be measured accurately and easily in practice. Two numerical examples are presented to show the validity of this method and its strength in dealing with complex assembled structures.

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“…Although the problem was well defined, the researchers have been interested in developing the efficient methods. Tsuei and Yee [1] presented a method for the determination of necessary modifications to shift the natural frequencies of a dynamic system to desired values. The method is iterative and uses the forces responses of the system.…”

Section: Introductionmentioning

confidence: 99%

A method for shifting natural frequencies of a dynamic system to desired values with concentrated mass modifications

akar¹

2018

J. vibroeng.

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In this study, shifting a certain number of natural frequencies of a dynamic system to the desired values with the concentrated mass modifications is considered. A new method is proposed in order to determine the necessary mass modifications. The method proposed is based on the Sherman-Morrison formula and uses the receptances that are related to the modification coordinates of the original system. The system is sequentially modified at the predefined locations by a number of unknown masses which equal the number of frequencies that will be shifted. The method yields a set of nonlinear equations which equal the number of shifting frequencies, then the necessary masses are estimated by solving these equations numerically. The efficiency of the proposed method is shown by various numerical and experimental applications. It is shown that the method is very effective and can be used for real applications.

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A Method for Modifying Dynamic Properties of Undamped Mechanical Systems

Cited by 42 publications

References 0 publications

Relocation of Resonance Frequencies of Undamped Systems Adding Grounded Springs

Relocation of Resonance Frequencies of Undamped Systems Adding Grounded Springs

Receptance-based frequency assignment for assembled structures

A method for shifting natural frequencies of a dynamic system to desired values with concentrated mass modifications

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