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  1. No Access

    Article

    Animal Shapes, Modal Analysis, and Visualization of Motion (IV): Geometric Constructions and Implementation

    We address computer implementation and technology issues in geometric constructions for mathematical and computational modeling purposes, especially regarding 3D finite-element mesh generation for large scale ...

    **g Yang, Goong Chen, Chunqiu Wei, Alexey Sergeev… in The Journal of Geometric Analysis (2023)

  2. No Access

    Article

    Animal Shapes, Modal Analysis, and Visualization of Motion (I): Horse and Camel

    Eigenfunctions and eigenvalues of physical systems and engineering structures can reveal many of the system’s fundamental features and, therefore, become a basis for the study of inverse problems. In this seri...

    Goong Chen, **gtong Huang, Chunqiu Wei, **g Yang… in The Journal of Geometric Analysis (2023)

  3. No Access

    Article

    Animal Shapes, Modal Analysis, and Visualization of Motion (III): Giraffe, Duck, Goose, T-Rex Dinosaur, and the Flying Modes of Eagle

    This paper contains more varieties of animals, including the giraffe, bird species duck, goose and eagle, and the T-Rex dinosaur. They range across mammals, birds and reptiles. For each of them, we present the...

    **g Yang, Goong Chen, Chunqiu Wei, Alexey Sergeev… in The Journal of Geometric Analysis (2023)

  4. No Access

    Article

    Animal Shapes, Modal Analysis, and Visualization of Motion (II): Dynamics and Fourier Decomposition

    This paper begins with solving the linear elastodynamic equation with forcing by expanding it into Fourier series. We then proceed to prove the conservation laws of momentum, angular momentum, and energy. We i...

    Goong Chen, Chunqiu Wei, Alexey Sergeev, **g Yang… in The Journal of Geometric Analysis (2023)

  5. No Access

    Article

    A general numerical scheme for the optimal control of fractional Birkhoffian systems

    This paper gives a general numerical scheme for the optimal control problem of fractional Birkhoffian systems. The fractional forced Birkhoff equations within Riemann–Liouville fractional derivatives are deriv...

    Lin He, Chunqiu Wei, Jiang Sha, Delong Mao, Kangshuo Wang in Nonlinear Dynamics (2022)

  6. No Access

    Article

    Band structures of elastic SH waves in nanoscale multi-layered functionally graded phononic crystals with/without nonlocal interface imperfections by using a local RBF collocation method

    A meshless radial basis function (RBF) collocation method based on the Eringen nonlocal elasticity theory is developed to calculate the band structures of ternary and quaternary nanoscale multi-layered phononi...

    Zhizhong Yan, Chunqiu Wei, Chuanzeng Zhang in Acta Mechanica Solida Sinica (2017)

  7. No Access

    Article

    Band structures of transverse waves in nanoscale multilayered phononic crystals with nonlocal interface imperfections by using the radial basis function method

    A radial basis function collocation method based on the nonlocal elastic continuum theory is developed to compute the band structures of nanoscale multilayered phononic crystals. The effects of nonlocal imperf...

    Zhizhong Yan, Chunqiu Wei, Chuanzeng Zhang in Acta Mechanica Sinica (2017)

  8. No Access

    Article

    RBF collocation method and stability analysis for phononic crystals

    The mesh-free radial basis function (RBF) collocation method is explored to calculate band structures of periodic composite structures. The inverse multi-quadric (MQ), Gaussian, and MQ RBFs are used to test th...

    Chunqiu Wei, Zhizhong Yan, Hui Zheng, Chuanzeng Zhang in Applied Mathematics and Mechanics (2016)

  9. No Access

    Article

    Elastic SH Wave Propagation in Periodic Layered Composites with a Periodic Array of Interface Cracks

    The interaction of anti-plane elastic SH waves with a periodic array of interface cracks in a multi-layered periodic medium is analyzed in this paper. A perfect periodic structure without interface cracks is f...

    Zhizhong Yan, Chunqiu Wei, Chuanzeng Zhang in Acta Mechanica Solida Sinica (2015)