OPTIMAL DESIGN OF A DYNAMIC VIBRATION ABSORBER BASED ON THE MODIFIED CAMEL ALGORITHM AND PHYSICAL CONCEPTS
DOI:
https://doi.org/10.11113/jurnalteknologi.v88.22957Keywords:
Absorber, optimal design, camel algorithm, negative stiffness, negative massAbstract
This study provides an optimal design of a dynamic vibration absorber used for vibration attenuation for a wide range of real world applications. Principles of negative mass and stiffness are adopted and explained in detail in the mathematical modeling. Then, harmonic analysis is used to obtain the dynamic response of the absorber in terms of main system amplitude and resonance frequency. Based on the dynamic response, the modified Camel algorithm is used to obtain the optimal values of absorber in terms of some properties, damping and mass ratio. For several mass ratio scenarios, the ideal damping and frequency ratios are concurrently established. The results showed that damping ratios are very critical and important factors, even for a very small uncertainty. Damping by adding DVA changed the nonlinear harmonic response. The critical values of both damping ratio and frequency ratio must be carefully chosen because they are not independent. But when the frequency ratio increase, the behavior changes. Reducing the amplitude response by 400% involved increasing the DR from (0.1 to 0.4). Changes in the mass ratio and frequency have no effect on the amplitude response when Ω < 0.25. The response is only impacted by frequency ratio in the range of (0.5< Ω <1.5). Finally, the modified camel algorithm successfully, precisely, and economically determined the optimal design of the critical design parameters of the absorber. The optimal values of the design parameters are compared to some available method in literature and the results are more satisfied and precisely predicte.
References
Frahm, H. 1909. Device for Damping Vibrations of Bodies. U.S. Patent 989,958.
Frahm, H. 1911. Device for Damping Vibrations of Bodies. U.S. Patent 989,958.
Snowdon, J. C. 1968. Vibration and Shock in Damped Mechanical Systems. New York: Wiley.
Randall, S. E. 1981. Optimum Vibration Absorbers for Linear Damped Systems. Journal of Mechanical Design. 103: 908–913.
Zuo, L., and S. A. Nayfeh. 2004. Minimax Optimization of Multi-Degree-of-Freedom Tuned-Mass Dampers. Journal of Sound and Vibration. 272: 893–908.
Fortgang, J., and W. Sinhose. 2005. Design of Vibration Absorbers for Step Motion and Step Disturbances. Transactions of the ASME. 127: 160–163.
Liu, K., and G. Coppola. 2010. Optimal Design of Damped Dynamic Vibration Absorber for Damped Primary Systems. Transactions of the Canadian Society for Mechanical Engineering. 34: 119–135.
Liu, K., and J. Liu. 2005. The Damped Dynamic Vibration Absorbers: Revisited and New Result. Journal of Sound and Vibration. 284: 1181–1189.
Zuo, L., and S. A. Nayfeh. 2006. The Two-Degree-of-Freedom Tuned-Mass Damper for Suppression of Single-Mode Vibration under Random and Harmonic Excitation. Transactions of the ASME. 128: 56–65.
Ghosh, A., and B. Basu. 2007. A Closed-Form Optimal Tuning Criterion for TMD in Damped Structures. Structural Control and Health Monitoring. 14: 681–692.
Wong, W. O., and Y. Cheung. 2008. Optimal Design of a Damped Dynamic Vibration Absorber for Vibration Control of Structure Excited by Ground Motion. Engineering Structures. 30: 41–46.
Viana, F. A. C., D. A. Kotinda, and V. Rade, et al. 2008. Tuning Dynamic Absorbers by Ant Colony Optimization. Computer Methods in Applied Mechanics and Engineering. 86: 1539–1549.
Lakes, R. S. 2001. Extreme Damping in Composite Materials with a Negative Stiffness Phase. Physical Review Letters. 86(13): 2897–2900.
Lakes, R. S. 2001. Extreme Damping in Compliant Composites with a Negative-Stiffness Phase. Philosophical Magazine Letters. 81(2): 95–100.
Lakes, R. S., T. Lee, A. Bersie, and Y. C. Wang. 2001. Extreme Damping in Composite Materials with Negative-Stiffness Inclusions. Nature. 410(6828): 565–567.
Lakes, R. S., and W. J. Drugan. 2002. Dramatically Stiffer Elastic Composite Materials Due to a Negative Stiffness Phase? Journal of the Mechanics and Physics of Solids. 50(5): 979–1009.
Wang, Y. C., and R. S. Lakes. 2004. Extreme Stiffness Systems Due to Negative Stiffness Elements. American Journal of Physics. 72(1): 40–50.
Wang, Y. C., and R. S. Lakes. 2004. Negative Stiffness-Induced Extreme Viscoelastic Mechanical Properties: Stability and Dynamics. Philosophical Magazine. 84(35).
Wang, Y. C., and R. S. Lakes. 2005. Stability of Negative Stiffness Viscoelastic Systems. Quarterly of Applied Mathematics. 63(1): 34–55.
Platus, D. L. 1992. Negative-Stiffness-Mechanism Vibration Isolation Systems. Proceedings of SPIE.
Mizuno, T., T. Toumiya, and M. Takasaki. 2003. Vibration Isolation System Using Negative Stiffness. JSME International Journal Series C. 46(3): 807–812.
Acar, M. A., and C. Yilmaz. 2013. Design of an Adaptive–Passive Dynamic Vibration Absorber Composed of a String–Mass System Equipped with Negative Stiffness Tension Adjusting Mechanism. Journal of Sound and Vibration. 332(2): 231–245.
Yang, J., Y. Xiong, and J. Xing. 2013. Dynamics and Power Flow Behaviour of a Nonlinear Vibration Isolation System with a Negative Stiffness Mechanism. Journal of Sound and Vibration. 332(1): 167–183.
Den Hartog, J. P. 1981. Mechanical Vibrations. New York: Courier Corporation.
Yang, F., R. Sedaghati, and E. Esmailzadeh. 2022. Vibration Suppression of Structures Using Tuned Mass Damper Technology: A State-of-the-Art Review. Journal of Vibration and Control. 28(7–8): 812–836.
Li, C., and B. Zhu. 2006. Estimating Double Tuned Mass Dampers for Structures under Ground Acceleration Using a Novel Optimum Criterion. Journal of Sound and Vibration. 298 (1–2): 280–297.
Lee, C. L., Y. T. Chen, L. L. Chung, and Y. P. Wang. 2006. Optimal Design Theories and Applications of Tuned Mass Dampers. Engineering Structures. 28(1): 43–53.
Zuo, L., and S. A. Nayfeh. 2005. Optimization of the Individual Stiffness and Damping Parameters in Multiple-Tuned-Mass-Damper Systems. Journal of Vibration and Acoustics. 127(1): 77–83.
Hoang, N., and P. Warnitchai. 2005. Design of Multiple Tuned Mass Dampers by Using a Numerical Optimizer. Earthquake Engineering & Structural Dynamics. 34(2): 125–144.
Rao, S. S. 1996. Engineering Optimization: Theory and Practice. New York: John Wiley and Sons.
Hadi, M. N. S., and Y. Arfiadi. 1998. Optimum Design of Absorber for MDOF Structures. Journal of Structural Engineering. 124(11): 1272–1280.
Febbo, M., and S. A. Vera. 2008. Optimization of a Two Degree of Freedom System Acting as a Dynamic Vibration Absorber. Journal of Vibration and Control. 14(11): 1667–1683. https://doi.org/10.1177/1077546307081586.
Park, J., and D. Reed. 2001. Analysis of Uniformly and Linearly Distributed Mass Dampers under Harmonic and Earthquake Excitation. Engineering Structures. 23: 802–814.
Ali, R. S., T. B. Abbass, and others. 2019. A Modified Camel Travelling Behaviour Algorithm for Engineering Applications. Australian Journal of Electrical and Electronics Engineering. 16(3): 176–186.
Alnahwi, F. M., Y. I. A. Al-Yasir, D. Sattar, R. S. Ali, C. H. See, and R. A. Abd-Alhameed. 2021. A New Optimization Algorithm Based on the Fungi Kingdom Expansion Behavior for Antenna Applications. Electronics. 10: 2057. https://doi.org/10.3390/electronics10172057.
Brown, B., and T. Singh. 2010. Minimax Design of Vibration Absorbers for Linear Damped Systems. Journal of Sound and Vibration. 330: 2437–2448.
Randall, S. E. 1981. Optimum Vibration Absorbers for Linear Damped Systems. Journal of Mechanical Design. 103: 908–913.
Fang, J., S. Shi-Min, and Q. Wang. 2012. Optimal Design of Vibration Absorber Using Minimax Criterion with Simplified Constraints. Acta Mechanica Sinica. 28(3): 848–853.
Abbass, T. B., S. O. W. Khafaji, M. Al-shujairi, and M. J. Aubad. 2025. Experimental Evaluation of the Performance of Dynamic Vibration Absorbers for Vibration Mitigation in Beam Structures. Jurnal Teknologi (Sciences & Engineering). 87(1): 159–166.
Jabbar, F. A., P. S. Rao, and S. O. W. Khafaji. 2024. Enhancing the Design of Dynamic Vibration Absorbers through Harmonic Analysis and Lumped Parallel Configuration. Engineering, Technology & Applied Science Research. 14(5): 16624–16639.
Abbas, T. B., and S. O. W. Khafaji. 2024. Experimental Evaluation of Dynamic Vibration Absorbers for Vibration Suppression in Beam Structure. In AIP Conference Proceedings. 3097(1). AIP Publishing.
Jabbar, F. A., P. S. Rao, and S. O. W. Khafaji. 2024. Reducing Vibration Amplitude with Parametric Optimization and an Efficient Dynamic Vibration Absorber for a Supported Beam. The Iraqi Journal for Mechanical and Materials Engineering. 23(2): 76–102.
Al-mtory, H. A., F. M. Alnahwi, and R. S. Ali. 2024. A New Algorithm Based on Pitting Corrosion for Engineering Design Optimization Problems. Iraqi Journal for Electrical and Electronic Engineering. 20(2): 190–206.
Ali, R., J. Mahmood, and H. Badr. 2022. A New Version of Modified Camel Algorithm for Engineering Applications. In Proceedings of the 2nd International Multi-Disciplinary Conference, Sakarya, Turkey.
Utama, D. M., W. N. Safitri, and A. K. Garside. 2022. A Modified Camel Algorithm for Optimizing Green Vehicle Routing Problem with Time Windows. Jurnal Teknik Industri. 24(1): 23–36.
Al-mtory, H. A., F. M. Alnahwi, and R. S. Ali. 2024. Beamforming Optimization of Linear and Planar Antenna Array Using a New Algorithm Based on the Corrosion Diffusion Behavior. Arabian Journal for Science and Engineering. 49(12): 16959–16984.
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