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August 26, 2025Journal of Applied Mechanics

Wave Propagation in a Strongly Nonlinear Mass-in-mass Chain with Soft Springs and Stability and Bifurcation Analyses of Periodic Solutions

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Authors

BZBingxu ZhangWZWeidong Zhu

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Overview

Modified harmonic balance reveals periodic solutions and bifurcations in nonlinear mass-in-mass chains, indicating unique resonance types.

Key Points

  • Periodic solutions for wave propagation were determined in a nonlinear mass-in-mass chain, highlighting unique stability features.
  • The introduction of superharmonic resonances suggests new interactions between optical and acoustic branches in soft spring systems.
  • Analysis utilized modified incremental harmonic balance and Hill's method for bifurcation detection under varying parameters.
  • Findings may influence future designs and applications of nonlinear mechanical systems in engineering and physics.

Cite This Study

Zhang et al. (2025) studied this question.

synapsesocial.com/papers/68af620aad7bf08b1eae31d3https://doi.org/10.1115/1.4069590
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