Home / Journals / CMES / Vol.98, No.4, 2014
Table of Content
  • Open Access

    ARTICLE

    Disclosing the Complexity of Nonlinear Ship Rolling and Duffing Oscillators by a Signum Function

    Chein-Shan Liu1
    CMES-Computer Modeling in Engineering & Sciences, Vol.98, No.4, pp. 375-407, 2014, DOI:10.3970/cmes.2014.098.375
    Abstract In this paper we study the nonlinear dynamical system x·=f(x,t) from a newly developed theory, viewing the time-varying function of sign(||f||2||x||2− 2(f·x)2) = −sign(cos 2θ) as a key factor, where θ is the intersection angle between x and f. It together with sign(cos θ) can reveal the complexity of nonlinear Duffing oscillator and a quadratic ship rolling oscillator. The barcode is formed by plotting sign(||f||2||x||2− 2(f·x)2) with respect to time. We analyze the barcode to point out the bifurcation of subharmonic motions and the range of chaos in the parameter space. The bifurcation diagram obtained by plotting the percentage… More >

  • Open Access

    ARTICLE

    A New Multi-objective Reliability-based Robust Design Optimization Method

    Zichun Yang1,2, Maolin Peng1,3,4, Yueyun Cao1, Lei Zhang1
    CMES-Computer Modeling in Engineering & Sciences, Vol.98, No.4, pp. 409-442, 2014, DOI:10.3970/cmes.2014.098.409
    Abstract A new multi-objective reliability-based robust design optimization (M ORBRDO) model is proposed which integrats the multi-objective robustness, the reliability sensitivity robustness and the six sigma robustness design idea. The pure-quadratic polynomial functions are adopted to fit the performance objective functions (POF) and the ultimate limited state functions (ULSF) of the structure. Based on the ULSF and the checking point method, the equations of the first order reliability index are calculated. The mapping transformation method is employed when the non-normal distribution variables are included. According to the POF and the Taylor series expansion method, the equations of mean value and standard… More >

  • Open Access

    ARTICLE

    Interval Uncertain Optimization of Vehicle Suspension for Ride Comfort

    C. Jiang1,2, S. Yu1, H.C. Xie1, B.C. Li1
    CMES-Computer Modeling in Engineering & Sciences, Vol.98, No.4, pp. 443-467, 2014, DOI:10.3970/cmes.2014.098.443
    Abstract Based on the interval analysis method, this paper proposes an uncertain optimization model for the ride comfort in vehicles and achieves the optimal design of vehicle ride comfort under the condition of complicated uncertainty. The spring stiffness and shock absorber damping of suspension is regarded as the design parameters, while the root mean square (RMS) of the vehicle body acceleration is treated as the design objective and the corresponding constraints are composed of suspension stiffness, natural frequency and RMS of suspension dynamic deflection. Moreover, the uncertainties of key parameters, such as sprung mass, tire stiffness, vehicle speed and road roughness,… More >

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