Geometric function

In this paper, a new four - variable refined plate theory proposed by the authors themselves for dynamic analysis of stiffened functionally graded composite plates reinforced by carbon nanotubes (SFG-CNTRC) subjected to moving mass is researched developed. The geometrical modeling and governing equations of the system are obtained using the finite element method (FEM).

11p dathienlang1012 03-05-2024 0 0   Download

In this paper, a new design of cylindrical panels is proposed with two functionally graded carbon nanotube-reinforced composite (FG-CNTRC) face sheets and a corrugated core. The corrugated core layer is modelled by applying the homogeneous technique according to the firstorder shear deformation theory (FSDT). The nonlinear vibration behaviour of first-order shear deformable cylindrical panels with geometric nonlinearities is analysed in the present paper.

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This paper represents the nonlinear bending analysis of a functionally graded porous (FGP) micro-plate resting on an elastic foundation through the modified couple stress theory and the Kirchhoff plate theory (KPT) together with the von-Kármán’s geometrical nonlinearity. The FGP micro-plate with even and uneven distributions of porosities are considered. Analytical solutions for the nonlinear bending is obtained.

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In this paper, geometrical nonlinear flutter analysis of functionally graded carbon nanotubes reinforced composite plates is presented. The governing equations of the system are obtained using the Mindlin plate theory and von Karman geometric nonlinearity. The linear piston theory is utilized to determine the aerodynamic pressure. Applying the Hamilton principle, equations of motion of a system are derived in the matrix form, and then the finite element method is used to obtain the discretized equations.

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The paper "Dynamic analysis of stiffened functionally graded composite plates reinforced by carbon nanotubes under blast loading" presents a study of the geometrical nonlinear dynamic of stiffened functionally graded composite plates reinforced by carbon nanotubes (SFG-CNTRC) subjected to blast loading. The governing equations of the system are obtained using the Mindlin plate theory and von Karman geometric nonlinearity.

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A semi-analytical approach of nonlinear dynamic buckling of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) cylindrical shells stiffened by the ring or stringer FG-CNTRC stiffeners by using the Donnell shell theory with the geometrical nonlinearities in von Kármán sense is reported in this paper. The improved smeared stiffener technique is applied for FG-CNTRC stiffeners.

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A semi-analytical approach of nonlinear vibration of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) doubly curved shallow shells stiffened by longitudinal or transversal FG-CNTRC stiffeners by using the first-order shear deformation theory (FSDT) with the geometrical nonlinearities in von Kármán sense is reported in this paper. The novel smeared stiffener technique is improved for FG-CNTRC stiffeners according to the FSDT.

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A semi-analytical approach of nonlinear buckling of spiral-corrugated functionally graded graphene-reinforced metal matrix composite (FG-GRMMC) laminated cylindrical shells by using the Donnell shell theory with the geometrical nonlinearities in von Kármán sense is reported in this paper.

10p dathienlang1012 03-05-2024 2 0   Download

An analytical approach of nonlinear buckling and postbuckling analysis of core-corrugated functionally graded carbon nanotubes reinforced composite (FG- CNTRC) cylindrical panels under axial compression is presented in the present study. A homogenization technique is applied for the corrugated core with thermal effects. The nonlinear stability equation system of panels is formulated by using the Donnell thin shell theory with the von Kármán geometrical nonlinearities.

9p dathienlang1012 03-05-2024 2 0   Download

Part 1 book "Foundations of geometric continuum mechanics" includes content: The elasticity problem; symmetry and dynamics, banachable spaces of sections of vector bundles over compact manifolds; manifolds of sections and embeddings; the general framework for global analytic stress theory; dual spaces corresponding to spaces of differentiable sections of a vector bundle - localization of sections and functionals; de rham currents; interlude - singular distributions of defects in bodies, vector valued currents; the representation of forces by stresses and hyperstresses,.... and other contents.

410p dianmotminh01 14-05-2024 3 0   Download

As such, the study apparently sought to examine the adsorption of the proteinogenic amino acid (proline) on the bare surfaces of carbon boron nitride, boron nitride, and boron nitride doped with the aluminum element nanotubes. In accordant with the geometric optimization, different dispersion models: PBE0, ωB97XD, M06-2X, and B3LYP-D3(GD3BJ) were used; note that the latter is used only in wave function analysis studies.

14p dianmotminh02 03-05-2024 3 2   Download

This paper presents a method for establishing the exact receptance function of a tapered axially functionally graded (AFG) beam with nonlinear ratios of properties using the Adomian method. In current papers, the Adomian method was applied for linearly tapered beams where the geometric series was used conveniently.

22p dianmotminh02 03-05-2024 3 2   Download

This article presents computational insights into the geometric and electronic structures of NbSi4 −/0 clusters using density functional theory and the CASSCF/CASPT2 method. The anionic and neutral ground states are identified as the 1A′ and 2A′ states, respectively, within a trigonal bipyramidal isomer where the Nb atom occupies the equatorial position. The adiabatic detachment energy for the transition from the anionic ground state 1A′ to the neutral ground state 2A′ is estimated to be 2.30 eV.

8p dianmotminh02 03-05-2024 4 2   Download

Ebook The RenderMan Interface (Version 3.2.1) includes contents: Section 1 introduction, section 2 language binding summary, section 3 relationship to the renderman shading language, section 4 graphics state, section 5 geometric primitives, section 6 motion, section 7 external resources, section 8 introduction to the shading language, section 9 overview of the shading process, section 10 relationship to the renderman interface, section 11 types, section 12 shader execution environment, section 13 language constructs, section 14 shaders and functions, section 15 built-in functions,…

226p longtimenosee05 31-03-2024 4 0   Download

Ebook "Insights into the adsorption behavior of a prototype functional molecule: A scanning tunneling microscopy study" main research interests are (1) the development of new materials with novel electronic, geometric and chemical properties, (2) the investigation of elementary steps of surface reactions and (3) the development and construction of advanced scientific apparatus. The investigations aim at a fundamental physical and chemical understanding of all mechanisms and processes involved, at an atomic level, and at the identification and evaluation of new preparation routes.

97p tudohanhtau1006 29-03-2024 2 1   Download

Part 2 book "Fundamentals of physics II - Electromagnetism, optics, and quantum mechanics" includes content: Electromagnetic waves, electromagnetism and relativity, optics I - Geometric optics revisited, optics II - More mirrors and lenses, wave theory of light, quantum mechanics - The main experiment, the wave function and its interpretation, quantization and measurement, states of definite energy, scattering and dynamics, summary and outlook.

301p muasambanhan08 01-03-2024 4 1   Download

Part 3 book "University physics with modern physics" includes content: Inductance; alternating current; electromagnetic waves; the nature and propagation of light; geometric optics; interference; diffraction; relativity; photons - light behaving as particles; particles behaving as waves; quantum mechanics I - wave functions; quantum mechanics II - atomic structure; molecules and condensed matter; nuclear physics; particle physics and cosmology.

579p muasambanhan07 18-02-2024 6 1   Download

Ebook University physics with modern physics (14/E): Part 3 includes contents: Inductance, alternating current, electromagnetic waves, the nature and propagation of light, geometric optics, interference, diffraction, relativity, photons: light waves behaving as particles, particles behaving as waves, quantum mechanics i: wave functions, quantum mechanics ii: atomic structure,…

587p muasambanhan04 07-01-2024 2 1   Download

Novel organic materials have played a tremendous role in developing high-performance nonlinear optical materials. Herein, the geometric, electronic and nonlinear optical properties of designed alkali (Li, Na, and K) and alkaline earth metals (Be, Mg, and Ca) doped cubane (C8H8) complexes have been explored by using density functional theory.

12p viberbers 09-08-2023 4 3   Download

This book focuses on the National Council of Teachers of Mathematics (NCTM) content standards for Algebra. The activities are divided into four main sections based on the NCTM Algebra standards. Students will learn to understand patterns, relations, and functions. For grades 3–5, this includes describing, extending, and making generalizations about geometric and numeric patterns as well as representing and analyzing patterns and functions using words, tables, and graphs.

130p haojiubujain03 09-08-2023 6 3   Download