Passive Reduction in Vibration Considering the Desired Amplitude in the Case of Damping Proportional to the Mass

Abstract:

The paper presents and solves the problem of a discrete reduction in vibration in mechanical systems depending on the desired dynamic properties. The methods for determining the passive values of vibration elements reducing vibrations to the desired amplitude value were formulated. Synthesis was done, using the methods of a discrete synthesis of vibration systems and introducing an assumption concerning the damping element existing in the required system and taking a rheological model as a mass damping model.

• Periodical: Solid State Phenomena (Volumes 220-221)
• Pages: 43-48
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.220-221.43
• Online since: January 2015
• Authors: Andrzej Dymarek*, Tomasz Dzitkowski
• Keywords: Dynamic Flexibility, Immobility, Mechanical Systems, Mobility, Reduction in Vibration

References

[1] K. Białas, A. Sękala, Vibration Analysis of Mechanical Systems with the Discrete-Continuous Distribution of Parameters, Mechatronic Systems and Materials IV, Solid State Phenomena, 198 (2013) 698–704.

DOI: 10.4028/www.scientific.net/ssp.198.698

[2] A. Dymarek, T. Dzitkowski, Method of active synthesis of discrete fixed mechanical systems, Journal of Vibroengineering 14(2) (2012) 458–463.

[3] A. Dymarek, T. Dzitkowski, Active synthesis of discrete systems as a tool for reduction vibration, Solid State Phenomena 198 (2013) 427–433.

DOI: 10.4028/www.scientific.net/ssp.198.427

[4] A. Dymarek, T. Dzitkowski, Reduction vibration of mechanical systems, Applied Mechanics and Materials 307 (2013) 257–260.

DOI: 10.4028/www.scientific.net/amm.307.257

[5] M.C. Smith, Synthesis of mechanical networks: the Inerter, IEEE Trans. Autom. Control. 47(10) (2002).

[6] M. Płaczek, Dynamic characteristics of a piezoelectric transducer with structural damping, Solid State Phenomena 198 (2013) 633–638.

DOI: 10.4028/www.scientific.net/ssp.198.633

[7] A. Dymarek, The sensitivity as a criterion of synthesis of discrete vibrating fixed mechanical system, Journal of Materials Processing Technology 157-158 (2004) 138–143.

DOI: 10.1016/j.jmatprotec.2004.09.011

[8] T. Dzitkowski, A. Dymarek, Active synthesis of machine drive systems using a comparative method, Journal of Vibroengineering 14(2) (2012) 528–533.

[9] T. Dzitkowski, A. Dymarek, Active synthesis of discrete systems as a tool for stabilisation vibration, Applied Mechanics and Materials 307 (2013) 295–298.

DOI: 10.4028/www.scientific.net/amm.307.295

[10] C. Grabowik, K. Krenczyk, K. Kalinowski, The hybrid method of knowledge representation in a CAPP knowledge based system, Lecture Notes in Computer Science 7209 (2012) 284–295.

DOI: 10.1007/978-3-642-28931-6_28

[11] R.C. Redfield, Dynamic system synthesis with a bond graph approach, part II: Conceptual design of an inertial velocity indicator, J. Dyn. Sys., Meas. Control. 115(3) (1993) 364–369.

DOI: 10.1115/1.2899111