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  • Open Access

    ARTICLE

    Bifurcation Analysis of a Nonlinear Vibro-Impact System with an Uncertain Parameter via OPA Method

    Dongmei Huang1, Dang Hong2, Wei Li1,*, Guidong Yang1, Vesna Rajic3

    CMES-Computer Modeling in Engineering & Sciences, Vol.138, No.1, pp. 509-524, 2024, DOI:10.32604/cmes.2023.029215

    Abstract In this paper, the bifurcation properties of the vibro-impact systems with an uncertain parameter under the impulse and harmonic excitations are investigated. Firstly, by means of the orthogonal polynomial approximation (OPA) method, the nonlinear damping and stiffness are expanded into the linear combination of the state variable. The condition for the appearance of the vibro-impact phenomenon is to be transformed based on the calculation of the mean value. Afterwards, the stochastic vibro-impact system can be turned into an equivalent high-dimensional deterministic non-smooth system. Two different Poincaré sections are chosen to analyze the bifurcation properties and the impact numbers are identified… More >

  • Open Access

    ARTICLE

    A 3-Node Co-Rotational Triangular Finite Element for Non-Smooth, Folded and Multi-Shell Laminated Composite Structures

    Zhongxue Li1,*, Jiawei Ji1, Loc Vu-Quoc2, Bassam A. Izzuddin3, Xin Zhuo1

    CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.2, pp. 485-518, 2021, DOI:10.32604/cmes.2021.016050

    Abstract Based on the first-order shear deformation theory, a 3-node co-rotational triangular finite element formulation is developed for large deformation modeling of non-smooth, folded and multi-shell laminated composite structures. The two smaller components of the mid-surface normal vector of shell at a node are defined as nodal rotational variables in the co-rotational local coordinate system. In the global coordinate system, two smaller components of one vector, together with the smallest or second smallest component of another vector, of an orthogonal triad at a node on a non-smooth intersection of plates and/or shells are defined as rotational variables, whereas the two smaller… More >

  • Open Access

    ABSTRACT

    Global Analysis of Crisis in a Non-smooth Vibration Oscillator

    Shichao Ma1, 2, Xin Ning1, 2, Pengbi Cui1, 2, Lili Ren1, 2, Liang Wang3

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.23, No.1, pp. 7-8, 2021, DOI:10.32604/icces.2021.08233

    Abstract Vibration isolation design is essential for the spacecraft capture operation in the on-orbit servicing missions. And contact impact is also inevitable in this process, which can be simplified as piece-smooth ordinary differential equations and generate abundant dynamics phenomena. Therefore, it is especially important to study the contact dynamics responses. And global behavior research can be visualized the characteristics of system. Aiming to this issue, the global dynamics of a single-degree-of-freedom non-smooth mechanical system in a vibration isolation experiment is studied by using advanced numerical procedure in this paper. For this non- smooth impact and friction oscillator, the forcing frequency is… More >

  • Open Access

    ARTICLE

    Dynamic Analysis of Stochastic Friction Systems Using the Generalized Cell Mapping Method

    Shichao Ma1, 2, *, Xin Ning1, 2, *, Liang Wang3

    CMES-Computer Modeling in Engineering & Sciences, Vol.122, No.1, pp. 49-59, 2020, DOI:10.32604/cmes.2020.06911

    Abstract Friction systems are a kind of typical non-linear dynamical systems in the actual engineering and often generate abundant dynamics phenomena. Because of non-smooth characteristics, it is difficult to handle these systems by conventional analysis methods directly. At the same time, random perturbation often affects friction systems and makes these systems more complicated. In this context, we investigate the steady-state stochastic responses and stochastic P-bifurcation of friction systems under random excitations in this paper. And in order to retain the non-smooth of friction system, the generalized cell mapping (GCM) method is first used to the original stochastic friction systems without any… More >

  • Open Access

    ARTICLE

    Elasto-Damage Modeling of Biopolymer Molecules Response

    F. Maceri1, M. Marino1, G. Vairo1

    CMES-Computer Modeling in Engineering & Sciences, Vol.87, No.5, pp. 461-482, 2012, DOI:10.3970/cmes.2012.087.461

    Abstract The mechanical behavior of biopolymer mo -le -cu -les is herein addressed and a novel predictive model for their elasto-damage response is proposed. Both entropic and energetic elastic mechanisms are accounted for, and coupled by consistent equilibrium conditions. Moreover, through non-smooth mechanics arguments, molecular damage is modeled accounting for failure due to both mechanical and non-mechanical damage sources. The model is applied to collagen molecules and an excellent agreement with available experimental tests and atomistic computations is shown. The proposed predictive theory can be usefully integrated in hierarchical models of biological structures towards a multiscale continuum approach. More >

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