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Search Results (12)
  • Open Access


    Towards a Unified Single Analysis Framework Embedded with Multiple Spatial and Time Discretized Methods for Linear Structural Dynamics

    David Tae, Kumar K. Tamma*

    CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.2, pp. 843-885, 2023, DOI:10.32604/cmes.2023.023071

    Abstract We propose a novel computational framework that is capable of employing different time integration algorithms and different space discretized methods such as the Finite Element Method, particle methods, and other spatial methods on a single body sub-divided into multiple subdomains. This is in conjunction with implementing the well known Generalized Single Step Single Solve (GS4) family of algorithms which encompass the entire scope of Linear Multistep algorithms that have been developed over the past 50 years or so and are second order accurate into the Differential Algebraic Equation framework. In the current state of technology, the coupling of altogether different… More >

  • Open Access


    Tactile Response Characterization of a Dynamic System Using Craig-Bampton Method

    S. Pradeepkumar*, P. Nagaraj

    Sound & Vibration, Vol.56, No.3, pp. 221-233, 2022, DOI:10.32604/sv.2022.014889

    Abstract Vibrational characteristics in small horizontal axis wind turbine system are presented in this study with a system concept called tactile response and substructuring. The main focus is on managing the dynamic properties like vibration, noise, and harshness that occur during the operational mode. Tactile response is defined as the response of subsystem which is induced when a human body touches a vibrating system. Sub structuring is a computational method used to reduce the dynamic behavior of a large complex system with a smaller number of degrees of freedom without disturbing the mesh size of the model. Sub structuring has the… More >

  • Open Access


    Mass-Stiffness Templates for Cubic Structural Elements

    Carlos A. Felippa*

    CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1209-1241, 2021, DOI:10.32604/cmes.2021.016803

    Abstract This paper considers Lagrangian finite elements for structural dynamics constructed with cubic displacement shape functions. The method of templates is used to investigate the construction of accurate mass-stiffness pairs. This method introduces free parameters that can be adjusted to customize elements according to accuracy and rank-sufficiency criteria. One- and two-dimensional Lagrangian cubic elements with only translational degrees of freedom (DOF) carry two additional nodes on each side, herein called side nodes or SN. Although usually placed at the third-points, the SN location may be adjusted within geometric limits. The adjustment effect is studied in detail using symbolic computations for a… More >

  • Open Access


    An Improved Higher-Order Time Integration Algorithm for Structural Dynamics

    Yi Ji1,2, Yufeng Xing1,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.126, No.2, pp. 549-575, 2021, DOI:10.32604/cmes.2021.014244

    Abstract Based on the weighted residual method, a single-step time integration algorithm with higher-order accuracy and unconditional stability has been proposed, which is superior to the second-order accurate algorithms in tracking long-term dynamics. For improving such a higher-order accurate algorithm, this paper proposes a two sub-step higher-order algorithm with unconditional stability and controllable dissipation. In the proposed algorithm, a time step interval [tk, tk + h] where h stands for the size of a time step is divided into two sub-steps [tk, tk + γh] and [tk + γh, tk + h]. A non-dissipative fourth-order algorithm is used in the rst… More >

  • Open Access


    An Explicit-Implicit Mixed Staggered Asynchronous Step Integration Algorithm in Structural Dynamics

    Zhiqiang Ma1,2, Lingshuang Kong1,2, Xianlong Jin1,2,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.116, No.1, pp. 51-67, 2018, DOI:10.31614/cmes.2018.01739

    Abstract Many engineering applications need to analyse the system dynamics on the macro and micro level, which results in a larger computational effort. An explicit-implicit asynchronous step algorithm is introduced to solve the structural dynamics in multi-scale both the space domain and time domain. The discrete FEA model is partitioned into explicit and implicit parts using the nodal partition method. Multiple boundary node method is adopted to handle the interface coupled problem. In coupled region, the implicit Newmark coupled with an explicit predictor corrector Newmark whose predictive wave propagates into the implicit mesh. During the explicit subcycling process, the variables of… More >

  • Open Access


    FE/BE Analysis of Structural Dynamics and Sound Radiation from Rolling Wheels

    L. Gaul, M. Fischer1, U. Nackenhorst2

    CMES-Computer Modeling in Engineering & Sciences, Vol.3, No.6, pp. 815-824, 2002, DOI:10.3970/cmes.2002.003.815

    Abstract A sequential FEM--BEM approach is employed to calculate the dynamic behavior and sound radiation of rotating wheels. The equations of motion for the wheel are developed in the frame of an Arbitrary Eulerian Lagrangian description with a time-independent formulation for steady state rolling and a spatial description of vibrations. The noise radiation caused by the vibration modes is computed by the symmetric hybrid boundary element method. More >

  • Open Access


    An Integrated Design of Generalized Single Step LMS Time Operators for Nonlinear Structural Dynamics

    R.Kanapady1, K.K.Tamma2

    CMES-Computer Modeling in Engineering & Sciences, Vol.6, No.2, pp. 189-208, 2004, DOI:10.3970/cmes.2004.006.189

    Abstract An integrated design of generalized single step LMS methods for applications to nonlinear structural dynamics is described. The design of the mathematical framework encompasses all the traditional and new and recent optimal algorithms encompassing LMS methods, and readily permits the different a-form, v-form and d-form representations in a unique mathematical setting. As such, the theoretical developments and implementation aspects are detailed for subsequent applications to nonlinear structural dynamics problems. The developments naturally inherit a consistent treatment of nonlinear internal forces under the present umbrella of predictor multi-corrector generalized single step representations with a wide variety of algorithmic choices as options… More >

  • Open Access


    Development of Non-Dissipative Direct Time Integration Method for Structural Dynamics Application

    Sun-Beom Kwon1, Jae-Myung Lee1,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.118, No.1, pp. 41-89, 2019, DOI:10.31614/cmes.2019.03879

    Abstract A direct time integration scheme based on Gauss-Legendre quadrature is proposed to solve problems in linear structural dynamics. The proposed method is a one-parameter non-dissipative scheme. Improved stability, accuracy, and dispersion characteristics are achieved using appropriate values of the parameter. The proposed scheme has second-order accuracy with and without physical damping. Moreover, its stability, accuracy, and dispersion are analyzed. In addition, its performance is demonstrated by the two-dimensional scalar wave problem, the single-degree-of-freedom problem, two degrees-of-freedom spring system, and beam with boundary constraints. The wave propagation problem is solved in the high frequency wave regime to demonstrate the advantage of… More >

  • Open Access


    Assessment of Cell-centered and Cell-vertex Finite Volume Approaches for Computation of 2D Structural Dynamics on Arbitrary Quadrilateral Grids

    Kazem Hejranfar1, Mohammad-Hadi Azampour1

    CMES-Computer Modeling in Engineering & Sciences, Vol.106, No.6, pp. 395-439, 2015, DOI:10.3970/cmes.2015.106.395

    Abstract In this study, cell-centered (CC) and cell-vertex (CV) finite volume (FV) approaches are applied and assessed for the simulation of two-dimensional structural dynamics on arbitrary quadrilateral grids. For the calculation of boundary nodes’ displacement in the CC FV approach, three methods are employed. The first method is a simple linear regression of displacement of boundary nodes from the displacement of interior cell centers. In the second method, an extrapolation technique is applied for this purpose and, in the third method; the line boundary cell technique is incorporated into the solution algorithm in an explicit manner. To study the effects of… More >

  • Open Access


    Constitutive Contact Laws in Structural Dynamics

    K.Willner 1

    CMES-Computer Modeling in Engineering & Sciences, Vol.48, No.3, pp. 303-336, 2009, DOI:10.3970/cmes.2009.048.303

    Abstract The dynamic behavior of structures with joints is strongly influenced by the constitutive behavior within the contact areas. In this paper the influence of an elaborate constitutive contact model based on a rough surface model is investigated. The contact model is able to describe several effects like pressure dependent contact stiffness in normal and tangential direction as well as microslip effects. The corresponding constitutive contact laws are implemented in a finite element code. Numerical simulations are compared to experimental results of a clamped double-beam experiment. More >

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