Dongmei Huang¹, Dang Hong², Wei Li^1,*, Guidong Yang¹, Vesna Rajic³

CMES-Computer Modeling in Engineering & Sciences, Vol.138, No.1, pp. 509-524, 2024, DOI:10.32604/cmes.2023.029215 - 22 September 2023

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… More >

Zhongxue Li^1,*, 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 - 08 October 2021

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… More >

Shichao Ma^{1, 2}, Xin Ning^{1, 2}, Pengbi Cui^{1, 2}, Lili Ren^{1, 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… More >

Shichao Ma^{1, 2, *}, Xin Ning^{1, 2, *}, Liang Wang³

CMES-Computer Modeling in Engineering & Sciences, Vol.122, No.1, pp. 49-59, 2020, DOI:10.32604/cmes.2020.06911 - 01 January 2020

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… More >

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 More >