Low- and High-Temperature Primary Resonance in Shape Memory Oscillator Observed by Multiple Time Scales and Harmonic Balance Method

被引：7
作者：
Weremczuk, Andrzej [1 ]
Rekas, Joanna [1 ]
Rusinek, Rafal [1 ]
机构：
[1] Lublin Univ Technol, Mech Engn Fac, Dept Appl Mech, Nadbystrzycka 36 St, PL-20618 Lublin, Poland
来源：
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS | 2019年 / 14卷 / 11期
关键词：
multiple time scales method; shape memory alloy; harmonic balance method; TENSILE-COMPRESSIVE ASYMMETRY; CHAOS; ENERGY; MODEL;
D O I：
10.1115/1.4044312
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper focuses on the primary resonance of a one degree-of-freedom (1DOF) oscillator with a spring made of shape memory alloy (SMA). The primary resonance is analyzed using the multiple time scales method (MTSM) and the harmonic balance method (HBM). The shape memory spring is described by a fifth-order polynomial function. The solutions are analyzed along with the results reported by another authors, and compared with numerical simulations. Three ranges of temperature are analyzed. Finally, the practical implementation aspect of the harmonic balance and MTSMs are discussed.
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页数：8
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共 23 条
  • [1] [Anonymous], CISM COURSES LECT
  • [2] [Anonymous], 1993, J. of Intell. Matl. Syst. and Struct, DOI DOI 10.1177/1045389X9300400213
  • [3] MODEL FREE-ENERGY, MECHANICS, AND THERMODYNAMICS OF SHAPE MEMORY ALLOYS
    FALK, F
    [J]. ACTA METALLURGICA, 1980, 28 (12): : 1773 - 1780
  • [4] 3-DIMENSIONAL LANDAU THEORY DESCRIBING THE MARTENSITIC PHASE-TRANSFORMATION OF SHAPE-MEMORY ALLOYS
    FALK, F
    KONOPKA, P
    [J]. JOURNAL OF PHYSICS-CONDENSED MATTER, 1990, 2 (01) : 61 - 77
  • [5] Generation of hysteresis cycles with two and four jumps in a shape memory oscillator
    Han, Xiujing
    Bi, Qinsheng
    [J]. NONLINEAR DYNAMICS, 2013, 72 (1-2) : 407 - 415
  • [6] Static analysis of C-shape SMA middle ear prosthesis
    Latalski, Jaroslaw
    Rusinek, Rafal
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2017, 132 (08):
  • [7] Liang C., 1990, Journal of Intelligent Material Systems and Structures, V1, P207, DOI 10.1177/1045389X9000100205
  • [8] Bifurcations and crises in a shape memory oscillator
    Machado, LG
    Savi, MA
    Pacheco, PMCL
    [J]. SHOCK AND VIBRATION, 2004, 11 (02) : 67 - 80
  • [9] Nayfeh A. H., 1973, Perturbation methods
  • [10] A constitutive model for shape memory alloys considering tensile-compressive asymmetry and plasticity
    Paiva, A
    Savi, MA
    Braga, AMB
    Pacheco, PMCL
    [J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2005, 42 (11-12) : 3439 - 3457
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