In this article, electro-thermo nonlocal nonlinear vibration and instability of viscous-fluid-conveying double–walled boron nitride nanotubes (DWBNNTs) embedded on Pasternak foundation are investigated. The DWBNNT is simulated as a Timoshenko beam (TB) which includes rotary inertia and transverse shear deformation in the formulation. Considering electro-mechanical coupling, the nonlinear govern...

Using harmonic differential quadrature (HDQ) method, nonlinear vibrations and instability of a smart composite cylindrical shell made from piezoelectric polymer of polyvinylidene fluoride (PVDF) reinforced with boron nitride nanotubes (BNNTs) are investigated while clamped at both ends and subjected to combined electro-thermo-mechanical loads and conveying a viscous-fluid. The mathematical mode...

The rockfill is modeled as nonlinear elastic material, whose stress-dependent tangent modulus is related to the confining pressure. The parameters of constitutive relationship of stress and strain are determined by tri-dimensional compression test in laboratory. The model applied in this study adopts the technique of element birth and death to simulate the sequential impoundment process of conc...

In this paper, topology optimization of both geometrically and materially nonlinear structure is studied using a general displacement functional as the objective function. In order to consider large deformation, e2ective stress and strain are expressed in terms of 2nd Piolar–Kirchho2 stress tensor and Green–Lagrange strain tensor, and constitutive equation is derived from the relation between t...

We present some applications of general harmonic/wavelet analysis approach (generalized coherent states, wavelet packets) to numerical/analytical calculations in (nonlinear) quasiclassical/quantum beam dynamics problems. (Naive) deformation quantization, multiresolution representations and Wigner transform are the key points.

The following article investigates nonlinear symmetric buckling of moderately thick circular Nano plates with an orthotropic property under uniform radial compressive in-plane mechanical load. Taking into account Eringen nonlocal elasticity theory, principle of virtual work, first order shear deformation plate theory (FSDT) and nonlinear Von-Karman strains, the governing equations are obtained ...

The nonlinear bending behavior of sector graphene sheets is studied subjected to uniform transverse loads resting on a Winkler-Pasternak elastic foundation using the nonlocal elasticity theory. Considering the nonlocal differential constitutive relations of Eringen theory based on first order shear deformation theory and using the von-Karman strain field, the equilibrium partial differential eq...

We present the application of variational-wavelet analysis to numerical/analytical calculations of Wigner functions in (nonlinear) quasiclassical beam dynamics problems. (Naive) deformation quantization and multiresolution representations are the key points.

そこで本研究では、FFD の格子を自動生成し、オリジ ナルの FFD の柔軟性を保ちつつ、ユーザによる 3 次元 モデルの変形を支援する手法を提案する。我々の手法 は、まずモデルのバウンディングボックスを生成し、 それを初期格子とする。その初期格子から階層的に新 たな格子を生成することで、多重解像度格子という格 子集合を作り出し、ユーザがその中から目的に沿った 適切な格子、すなわち大域的な変形のための少数の制 御点を持つ格子や、局所的な変形のための変形対象領 域の形状をよく近似する格子を選択できるようにする。 さらに、変形前の格子だけでなく、ユーザによって変 形された格子から新たな格子の生成を行うことで、階 層的変形を行うことができる。階層的変形を用いるこ とで、格子をバウンディングボックスから再定義する ことなく、大域的な変形から局所的な変形、またはそ の逆といったようにモデルを階...