Linear elastic analysis

Part 2 book "Stress, strain, and structural dynamics - An interactive handbook of formulas, solutions, and MATLAB toolboxes" includes content: Vibration and control of multiple degree of freedom systems, dynamics and control of euler bernoulli beams, dynamic analysis of bars, shafts and strings, dynamic analysis of constrained, combined and stepped beams, static analysis of linearly elastic bodies, free vibration of membranes and plates.

506p dianmotminh03 11-06-2024 4 2   Download

This paper investigates the bending behavior of beams by considering: (1) the EulerBernoulli beam model, (2) Mindlin’s strain gradient elasticity theory, (3) the von Kármán strain assumptions. The principle of virtual work is used to derive the non-linear governing equations in form of a six-order partial differential equation.

7p viohoyo 25-04-2024 5 2   Download

This work deals with the nonlinear buckling and post-buckling of stiffened nanocomposite plates reinforced functionally graded carbon nanotubes (FG CNTRC) resting on elastic foundation in thermal environment. Obtained results showed that the properties of the nanocomposited plates embedded with single-walled carbon nanotubes are dependent on temperature and altered according to linear functions of the thickness.

24p vimelindagates 18-07-2022 11 3   Download

Managerial Economics - Homework 3: Market and demand analysis provide students with knowledge about moving to a higher price along a linear demand curve increases demand elasticity; the extent that management has advance information about economic conditions, it may be able to adjust ticket prices as the economy moves through the (local) business cycle;...

3p flynn_beret 03-04-2022 15 1   Download

This paper investigates the possibility of using an efficient high-order polynomial element in the SBFEM to form the approximation in the circumferential direction. The governing equations are formulated from the classical linear elasticity theory via the SBFEM technique.

14p inception36 30-11-2021 6 1   Download

In this paper, we present an effectively numerical approach based on isogeometric analysis (IGA) for geometrically nonlinear analysis of retaining walls. The geometrical nonlinearity is formed in the total Lagrange approach; Whereas, the material is linear elastic. Deformations are large to use finite deformation theory.

4p vivacation2711 23-10-2021 13 1   Download

In the mechanisms and machines operating at high speeds, the elastic vibration of links is inevitable. In this paper the dynamic modeling and controller design for a flexible four-bar mechanism are studied. The fully coupled non-linear equations of motion are obtained by using the Lagrange’s equations with multipliers for constrained multibody systems. The resulting differential-algebraic equations are solved using numerical methods. A simple PD controller is designed to reduce the influence of the elastic link on the desired motion.

5p cothumenhmong11 10-05-2021 22 3   Download

This paper reports the application of consecutive-interpolation procedure into four-node quadrilateral elements for analysis of two-dimensional cracked solids made of functionally graded composite plate. Compared to standard finite element method, the recent developed consecutiveinterpolation has been shown to possess many desirable features, such as higher accuracy and smooth nodal gradients it still satisfies the Kronecker-delta property and keeps the total number of degrees of freedom unchanged.

11p nguaconbaynhay11 07-04-2021 20 1   Download

This chapter provides knowledge of quantitative demand analysis. The contents of this chapter include all of the following: The elasticity concept, own price elasticity, elasticity and total revenue, cross-price elasticity, income elasticity, demand functions, linear, log-linear, regression analysis.

34p larachdumlanat124 28-11-2020 19 1   Download

In present study the failure of the shaft in the yaw gear box is analyzed .As we the shaft is rotating part of the engine it transmit the power from the one part of the engine to another part.

8p lucastanguyen 01-06-2020 32 1   Download

Linear matching method (LMM) is one of the effective numerical methods for the limit and shakedown analysis, which computes the converging upper series by solving iteratively linear elastic analysis with Young’s modulus varying in space.

14p tohitohi 19-05-2020 17 0   Download

The linear elastic analysis of homogeneous, isotropic cracked bodies started in the 1900s. The existence of three dimensional corner point effects in the vicinity of a corner point where a crack front intersects a free surface was investigated in the late 1970s. An approximate solution by Bažant and Estenssoro explained some features of corner point effects but there were various paradoxes and inconsistencies.

10p tohitohi 19-05-2020 18 2   Download

The linear and Kishi-Chen three-parameter power models are applied in modelling the moment-rotation relation of beam-column connections. The arc-length nonlinear algorithm combined with the sign of displacement internal product are used to predict the equilibrium paths of the system under static load. The analysis results are compared to previous studies to verify the accuracy and effectiveness of the proposed element and the applied nonlinear procedure.

9p elandorr 05-12-2019 10 0   Download

Different variants of the Uzawa algorithm are compared with one another. The comparison is performed for the case in which this algorithm is applied to large-scale systems of linear algebraic equations. These systems arise in the finite-element solution of the problems of elasticity theory for incompressible materials. A modification of the Uzawa algorithm is proposed. Computational experiments show that this modification improves the convergence of the Uzawa algorithm for the problems of solid mechanics.

5p kequaidan1 16-11-2019 12 0   Download

In the present paper, a comparison between five different shell finite elements, including the Linear Triangular Element, Linear Quadrilateral Element, Linear Quadrilateral Element based on deformation modes, 8-node Quadrilateral Element, and 9-Node Quadrilateral Element was presented. The shape functions and the element equations related to each element were presented through a detailed mathematical formulation. Additionally, the Jacobian matrix for the second order derivatives was simplified and used to derive each element’s strain-displacement matrix in bending.

14p caygaocaolon1 13-11-2019 19 1   Download

The paper presents a solution based on a detailed analysis of system modeling to assess the stability of the load position during the control under the interplay of factors such as the elasticity of the rope. , weight change as well as other external impacts. Especially based on the actual conditions, analysis and design of automatic load position control system when there is no information about the load location, the main sensor is the sensor that measures the rotation position of the system. Here, lower and feel the pressure to measure the tension of the rope.

5p lequangvinh1608 13-08-2019 36 3   Download

The present method is a nieshless method, as it does not need a "finite element mesh" and it is only composed by the particles with theirs "compact support" (the influence domain) in the whole domain. Specially, the shape functions are not satisfying the Kronecker delta property, therefore, in this paper, we must enforce the esseutial boundary conditions by the Lagrangian multipliers method.

12p chikychiky 01-11-2018 23 1   Download

The purpose of this paper is simulating the crack propagation in steel structures with isogeometry analysis (IGA). In this method, CAD model is integrated into the CAE model by using non uniform rational B-Splines (NURBS) function. Crack propagation in isotroptic linear elastic material will be presented.

9p sansan2 26-05-2018 22 0   Download

(bq) part 1 book "microeconomics - a global text" has contents: introduction to microeconomics, theory of the consumer, market demand and elasticity, topics in demand analysis, the producer and optimal production choices, costs and scale, linear and dynamic programming and x-efficiency.

255p bautroibinhyen27 11-05-2017 49 2   Download

(bq) part 2 book "a first course in finite element analysis" has contents: approximations of trial solutions, weight functions and gauss quadrature for multidimensional problems; finite element formulation for multidimensional scalar field problems, finite element formulation for vector field problems – linear elasticity; finite element formulation for beams...and other contents.

177p bautroibinhyen18 23-02-2017 58 5   Download