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STABILITY OF INITIAL RESPONSE OF EXPONENTIALLY DAMPED OSCILLATORS

ABSTRACT
A damping system always results in energy consumption. This paper studies an exponentially damped oscillator with historical memory for a viscoelastic damper structure, its stability under an initial response is analyzed analytically and verified numerically.
KEYWORDS
PAPER SUBMITTED: 2022-12-30
PAPER REVISED: 2023-03-10
PAPER ACCEPTED: 2023-03-20
PUBLISHED ONLINE: 2024-05-18
DOI REFERENCE: https://doi.org/10.2298/TSCI2403179X
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 3, PAGES [2179 - 2188]
REFERENCES
  1. Cacopardo, L., et al., Characterizing and Engineering Biomimetic Materials for Viscoelastic Mechanotransduction Studies, Tissue Engineering Part B: Reviews, 28 (2022), 4, pp. 912-925
  2. He, C. H., et al., A Novel Bond Stress-Slip Model for 3-D Printed Concretes, Discrete and Continuous Dynamical Systems, 15 (2022), 7, pp. 1669-1683
  3. Zuo, Y. T., Liu, H. J., Is the Spider a Weaving Master or a Printing Expert? Thermal Science, 26 (2022), 3B, pp. 2471-2475
  4. He, J.-H., et al., The Maximal Wrinkle Angle During the Bubble Collapse and Its Application to the Bubble Electrospinning, Frontiers in Materials, 8 (2022), 800567
  5. Qian, M. Y., He, J.-H., Collection of Polymer Bubble as a Nanoscale Membrane, Surfaces and Interface, 28 (2022), 101665
  6. Hu, M. B., et al., Experimental Study of Energy Absorption Properties of Granular Materials Under Low Frequency Vibrations, International Journal of Modern Physics B, 18 (2004), 17-19, pp. 2708-2712
  7. Mekid, S., Kwon, O. J. Nervous Materials: A New Approach for Better Control, Reliability and Safety of Structures, Science of Advanced Materials, 1 (2009), 3, pp. 276-285
  8. He, C. H., et al., Controlling the Kinematics of a Spring-Pendulum System Using an Energy Harvesting Device, Journal of Low Frequency Noise, Vibration & Active Control, 41 (2022), 3, pp. 1234-1257
  9. Liang, Y. H., Wang, K. J., A New Fractal Viscoelastic Element: Promise and Applications to Maxwell-Rheological Model, Thermal Science, 25 (2021), 2B, pp. 1221-1227
  10. Qian, M. Y., He, J.-H., Two-Scale Thermal Science for Modern Life - Making the Impossible Possible, Thermal Science, 26 (2022), 3B, pp. 2409-2412
  11. He, J.-H., et al., A Tutorial Introduction to the Two-Scale Fractal Calculus and Its Application to the Fractal Zhiber-Shabat Oscillator, Fractals, 29 (2021), 8, 2150268
  12. Xiu, G. Z., et al., Integral Representation of the Viscoelastic Relaxation Function, Journal of Shanghai Normal University (Natural Sciences), 48 (2019), 3, pp. 242-251
  13. Adhikari, S., Woodhouse, J., Quantification of Non-viscous Damping in Discrete Linear Systems, Journal of Sound and Vibration, 260 (2003), 3, pp. 499-518
  14. Li, L., et al., Inclusion of Higher Modes in the Eigensensitivity of Non-viscously Damped Systems, AI-AA Journal, 52 (2014), 6, pp. 1316-1322
  15. He, J.-H., El-Dib, Y. O., Periodic Property of the Time-Fractional Kundu-Mukherjee-Naskar Equation, Results in Physics, 19 (2020), 103345
  16. Li, L., et al., Design Sensitivity Analysis of Dynamic Response of Non-viscously Damped Systems, Mechanical Systems and Signal Processing, 41 (2013), 1-2, pp. 613-638
  17. Shen, H. Y., et al., Time History Analysis Method for Response of Convoluted Non-viscous Damping System Based on Taylor Expansion of Volterra Integral Equation (in Chinese), Chinese Journal of Applied Mechanics, 35 (2018), 2, pp. 261-266
  18. Meng, L., Zhongdong, D., Wind Effect Analysis of Super-High Structure Based on Convolutional Non-viscously Damped System, Chinese Journal of Computational Mechanics, 34 (2017), 6, pp. 763-769
  19. Lazaro, M., Perez-Aparicio, J. L., Characterization of Real Eigenvalues in Linear Viscoelastic Oscillators and the Non-viscous Set, Journal of Applied Mechanics, 81 (2014), 2, pp. 021016-1-021016-14
  20. Guedria, N., Smaoui, H., A Direct Algebraic Method for Eigensolution Sensitivity Computation of Damped Asymmetric Systems, International Journal for Numerical Methods in Engineering, 68 (2006), 6, pp. 674-689
  21. Xiu, G. Z., et al., Optimal Control Designs for a Class of Non-viscously Damped Systems, Journal of Donghua University (English Edition), 37 (2020), 2, pp. 137-142
  22. Benjamin, D., et al., Transition from Exponentially Damped to Finite-Time Arrest Liquid Oscillations Induced by Contact Line Hysteresis, Physical Review Letters, 124 (2020), 10, pp. 104502.1-104502.5
  23. Lazaro, M., Eigensolutions of Non-viscously Damped Systems Based on the Fixed-Point Iteration, Journal of Sound and Vibration, 418 (2018), Mar., pp. 100-121
  24. He, J. H., et al., Homotopy Perturbation Method for Fractal Duffing Oscillator with Arbitrary Conditions, Fractals, 30 (2022), 9, 22501651
  25. Anjum, N., et al., Two-Scale Fractal Theory for the Population Dynamics, Fractals, 29 (2021), 7, 2150182
  26. El-Shahed, M., Application of He's Homotopy Perturbation Method to Volterra's Integro-differential Equation, International Journal of Non-linear Sciences and Numerical Simulation, 6 (2005), 2, pp. 163-168
  27. Nadeem, M., Li, F. Q., He-Laplace Method for Non-linear Vibration Systems and Non-linear Wave Equations, Journal of Low Frequency Noise, Vibration and Active Control, 38 (2019), 3-4, pp. 1060-1074
  28. He, J.-H., et al., Fractal Oscillation and Its Frequency-Amplitude Property, Fractals, 29 (2021), 4, 2150105
  29. He, J.-H., et al., Forced Non-linear Oscillator in a Fractal Space, Facta Universitatis, Series: Mechanical Engineering, 20 (2022), 1, pp. 1-20
  30. Tian, D., et al., Fractal N/MEMS: from Pull-in Instability to Pull-in Stability, Fractals, 29 (2021), 2, 2150030
  31. Tian, D., He, C. H., A Fractal Micro-Electromechanical System and Its Pull-in Stability, Journal of Low Frequency Noise Vibration and Active Control, 40 (2021), 3, pp. 1380-1386
  32. He, C. H., A Variational Principle for a Fractal Nano/Microelectromechanical (N/MEMS) System, International Journal of Numerical Methods for Heat & Fluid Flow, 33 (2023), 1, pp. 351-359
  33. He, J.-H., et al., Pull-down Instability of the Quadratic Non-linear Oscillators, Facta Universitatis, Series: Mechanical Engineering, 21 (2023), 2, pp. 191-200

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence