scholarly journals A New Beam Finite Element for Static Bending Analysis of Slender Transversely Cracked Beams on Two-Parametric Soils

2021 ◽  
Vol 11 (22) ◽  
pp. 10939
Author(s):  
Matjaž Skrinar ◽  
Mojmir Uranjek ◽  
Iztok Peruš ◽  
Denis Imamović
Keyword(s):  
Finite Element ◽  
Analytical Solution ◽  
Polynomial Interpolation ◽  
Transverse Displacement ◽  
Bending Analysis ◽  
Finite Element Software ◽  
Matrix Coefficients ◽  
Governing Differential Equation ◽  
Load Vector ◽  
Cubic Polynomial

This paper derives an original finite element for the static bending analysis of a transversely cracked uniform beam resting on a two-parametric elastic foundation. In the simplified computational model based on the Euler–Bernoulli theory of small displacements, the crack is represented by a linear rotational spring connecting two elastic members. The derivations of approximate transverse displacement functions, stiffness matrix coefficients, and the load vector for a linearly distributed load along the entire beam element are based on novel cubic polynomial interpolation functions, including the second soil parameter. Moreover, all derived expressions are obtained in closed forms, which allow easy implementation in existing finite element software. Two numerical examples are presented in order to substantiate the discussed approach. They cover both possible analytical solution forms that may occur (depending on the problem parameters) from the same governing differential equation of the considered problem. Therefore, several response parameters are studied for each example (with additional emphasis on their convergence) and compared with the corresponding analytical solution, thus proving the quality of the obtained finite element.

Influence of Joint Flexibility on Vibration Analysis of Free-Free Beams

2014 ◽  
Vol 3 (4) ◽  
Author(s):  
Jagadish Babu Gunda ◽  
Y. Krishna
Keyword(s):  
Finite Element ◽  
Degrees Of Freedom ◽  
Joint Stiffness ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Transverse Displacement ◽  
Joint Flexibility ◽  
Rotational Spring ◽  
Finite Element Software ◽  
Joint Location

AbstractIn present work, joint flexibility (or looseness) of the free-free beam is investigated by using a two noded beam finite element formulation with transverse displacement and joint rotations as the degrees of freedom per node at joint location. Flexibility of the joint is primarily represented by means of a rotational spring analogy, where the stiffness of the rotational spring characterizes the looseness of the flexible joint for an applied bending moment. Influence of joint location as well as joint stiffness on modal behavior of first five modes of slender, uniform free-free beams are discussed for various values of non-dimensional rotational spring stiffness parameter. Numerical accuracy of the results obtained from the present finite element formulation are validated by using the commercially available finite element software which shows the confidence gained on the numerical results discussed in the present study.

scholarly journals Finite-Element Analysis on Compressive Performance of a Novel Glue-Laminated Cornstalk Scrimber

2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Wei Tian ◽  
Yongmei Qian ◽  
Zunpeng Liu ◽  
Yiming Wang
Keyword(s):  
Finite Element ◽  
Axial Compression ◽  
Green Building ◽  
Building Industry ◽  
Transverse Displacement ◽  
Element Analysis ◽  
Nonlinear Load ◽  
Finite Element Software ◽  
Compressive Performance ◽  
Novel Material

Novel glue-laminated cornstalk scrimber is a new timber substitute produced by special techniques, without damaging the original fibers in cornstalks. This novel material outperforms ordinary timber in the resistance to water, damping, insect, and fire and provides a desirable green building material. However, glue-laminated cornstalk scrimber has not been widely implemented in the building industry, because the application of cornstalk products is limited to decoration panels. With the aid of the finite-element software Abaqus, this paper simulates the glue-laminated cornstalk scrimber specimens with different slenderness ratios under axial compression and analyzes the compressive performance of such specimens. The results show that the height of glue-laminated cornstalk scrimber is negatively correlated with the buckling load and nonlinear load under axial compression and positively correlated with the transverse displacement and axial displacements induced by axial compression. The research results provide a good reference for improving the design and application of glue-laminated cornstalk scrimber.

A Proposal to Consider Cycle Counting Methods for Fatigue Analysis of Nuclear and Conventional Power Plant Components

2016 ◽  
Author(s):  
Felippe M. S. Costa ◽  
José Luiz F. Freire ◽  
Jürgen Rudolph ◽  
José Eduardo Maneschy
Keyword(s):  
Finite Element ◽  
Analytical Solution ◽  
Time History ◽  
Peak Stress ◽  
Fatigue Analysis ◽  
Transient Temperature ◽  
Stress Range ◽  
Structural Components ◽  
Finite Element Software ◽  
Asme Code

This paper points out some relevant aspects of the simplified elasto-plastic fatigue analysis as addressed in the ASME Code Section III Subsection NB and its application to two structural components that are subjected to a slow or to a fast thermal transient. The structural components considered are a thick-walled pipe and a nozzle-to-vessel junction. For the case of the thick-walled pipe, a closed form analytical solution proposed by Albrecht for pipes subjected transient temperature loading was implemented and its results were compared to coupled thermal and mechanical finite element analyses using a commercial finite element software. The application of the analytical solution allows for an optimization of the time consumed to obtain the stresses that occur across the thickness of the pipe as a function of time, i.e. the membrane plus bending plus peak stress range, Sp. The analytical solution equally allows for the linearization of the stress components actuating along the pipe thickness for all time steps considered within the thermal stress solution. This yields the membrane plus bending stress range, Sn, and allows for a design code conforming plasticity correction by means of Ke factors. In the considered case of the nozzle-to-vessel junction, a finite element solution was used. It was one aim of the study to point out, that under fast transients loading situations the relevant stresses Sp and Sn do not necessarily coincide with each other. In the ASME Code the alternating stress Sa is a function of the factor Ke and of the range of Sp, with Ke being a function of the range of Sn and of the material properties. Consequently, a non-conservative fatigue analysis may result in the case of performing cycle counting only based on the time history of the critical Sp values and simply assigning the corresponding Sn and Ke values. This paper exemplifies one of those cases and proposes a method to overcome this problem.

Thermal Stress Analysis for Bi-modulus Foundation Beam under Nonlinear Temperature Difference

2017 ◽  
Vol 14 (01) ◽  
pp. 1750024 ◽  
Author(s):  
Jinling Gao ◽  
Wenjuan Yao
Keyword(s):  
Finite Element ◽  
Analytical Solution ◽  
Mechanical Response ◽  
Bending Moment ◽  
Neutral Axis ◽  
Calculation Procedure ◽  
Winkler Foundation ◽  
Linear Temperature ◽  
Finite Element Software ◽  
Nonlinear Temperature

It is shown that many materials in practical engineering have different moduli in tension and compression. Especially, graphene, a magical material with the highest strength, is a kind of bi-modulus material. In this paper, mechanical response of bi-modulus Winkler foundation beam under nonlinear temperature distribution along height of the beam is studied. A new and convenient method, “intersecting line criterion”, is proposed to certify number of neutral axis in foundation beam and governing equation (set) of position of neutral axis is established, which is solved by iteration procedure of Newton’s method in Matlab. Semi-analytical solutions of stress, deflection and bending moment are subsequently obtained. Meanwhile, a finite element calculation procedure for calculating the temperature stress in bi-modulus structures is developed. Return the analytical solution to the result of the same modulus theory, and compare the analytical solution with finite element procedure solution and common finite element software Abaqus simulation solution. It shows that both of semi-analytical solution and calculation procedure proposed are reliable to use. Finally, discrepancies between nonlinear temperature effect and linear temperature and external force effect are discussed, which may supply some suggestions for calculation and optimization of such structures and members.

Dynamic Balancing Modal Analysis and Vibration Suppressing Design for Reciprocating Compressor Crankshaft

2012 ◽  
Vol 157-158 ◽  
pp. 996-999 ◽  
Author(s):  
Yi Cheng Huang ◽  
Fong You Lee
Keyword(s):  
Finite Element ◽  
Analytical Solution ◽  
Solution Method ◽  
Vibration Reduction ◽  
Modal Testing ◽  
Movement Trajectory ◽  
Reciprocating Compressor ◽  
Connecting Rod ◽  
Dynamic Balancing ◽  
Finite Element Software

The purpose of this study is to improve the problem of vibration which occurs in a running reciprocating compressor, by determining an optimal crankshaft counterweight and narrowing the movement trajectory of the crankshaft connecting rod mechanism. An analytical solution method is applied to satisfy the requirements for vibration reduction. Use of finite element software is to simulate the modality and deformation of crankshaft under various conditions of counterweight. Modal testing shows a difference of less than 6 % between the simulation and the experimental results. After the crankshaft counterweight is machined and installed, the new crankshaft is able to reduce compressor vibrations from 32 mm/s down to 15.8 mm/s and noise reduction of 3 dB. This study can provide information pertaining to the design process and assessment to any future new compressor designs.

Theoretical Analysis and Verification of the Single-Surface Double-Layer Cable Architectural System

2014 ◽  
Vol 501-504 ◽  
pp. 506-509
Author(s):  
Jian Hua Gao
Keyword(s):  
Finite Element ◽  
Analytical Solution ◽  
Double Layer ◽  
Simulation Analysis ◽  
Element Solution ◽  
Cable System ◽  
Software Simulation ◽  
Finite Element Software ◽  
Construction Methods ◽  
Discrete Finite Element

In order to meet the needs of large span project for Vegetable expo, supporting building system consisting of prestressed single-surface Double-layer Cable was put forward. Based on the assumption analytical solution of the double-layer cable planar support structure system was given. Using ANSYS finite element software simulation analysis on the double-layer cable system was carried out, the discrete finite element solution was acquired, and by comparing the analytical solution was verified to be accurate. Finally, the construction methods and means of monitoring during construction were given, and these can provide references for design and construction of similar projects.

scholarly journals Theoretical analysis and experimental research on multi-layer elastic damping track structure

2021 ◽  
Vol 13 (2) ◽  
pp. 168781402199497
Author(s):  
Guanghui Xu ◽  
Shengkai Su ◽  
Anbin Wang ◽  
Ruolin Hu
Keyword(s):  
Finite Element ◽  
Analytical Solution ◽  
Finite Element Simulation ◽  
Reaction Force ◽  
Vibration Reduction ◽  
Vertical Direction ◽  
Propagation Path ◽  
Track Structure ◽  
Test Results ◽  
Element Simulation

The increase of axle load and train speed would cause intense wheelrail interactions, and lead to potential vibration related problems in train operation. For the low-frequency vibration reduction of a track system, a multi-layer track structure was proposed and analyzed theoretically and experimentally. Firstly, the analytical solution was derived theoretically, and followed by a parametric analysis to verify the vibration reduction performance. Then, a finite element simulation is carried out to highlight the influence of the tuned slab damper. Finally, the vibration and noise tests are performed to verify the results of the analytical solution and finite element simulation. As the finite element simulation indicates, after installation of the tuned slab damper, the peak reaction force of the foundation can be reduced by 60%, and the peak value of the vertical vibration acceleration would decrease by 50%. The vibration test results show that the insertion losses for the total vibration levels are 13.3 dB in the vertical direction and 21.7 dB in the transverse direction. The noise test results show that the data of each measurement point is smoother and smaller, and the noise in the generating position and propagation path can be reduced by 1.9 dB–5.5 dB.

scholarly journals Low-Cycle Fatigue Crack Initiation Simulation and Life Prediction of Powder Superalloy Considering Inclusion-Matrix Interface Debonding

Materials ◽  
2021 ◽  
Vol 14 (14) ◽  
pp. 4018
Author(s):  
Shuming Zhang ◽  
Yuanming Xu ◽  
Hao Fu ◽  
Yaowei Wen ◽  
Yibing Wang ◽  
...  
Keyword(s):  
Finite Element ◽  
Crack Initiation ◽  
Life Prediction ◽  
Damage Mechanics ◽  
Low Cycle Fatigue ◽  
Fatigue Crack Initiation ◽  
Fatigue Loading ◽  
Interface Debonding ◽  
Damage Evolution Equation ◽  
Finite Element Software

From the perspective of damage mechanics, the damage parameters were introduced as the characterizing quantity of the decrease in the mechanical properties of powder superalloy material FGH96 under fatigue loading. By deriving a damage evolution equation, a fatigue life prediction model of powder superalloy containing inclusions was constructed based on damage mechanics. The specimens containing elliptical subsurface inclusions and semielliptical surface inclusions were considered. The CONTA172 and TARGE169 elements of finite element software (ANSYS) were used to simulate the interfacial debonding between the inclusions and matrix, and the interface crack initiation life was calculated. Through finite element modeling, the stress field evolution during the interface debonding was traced by simulation. Finally, the effect of the position and shape size of inclusions on interface debonding was explored.

Effect of crack on free vibration of a pre-stressed curved plate

2021 ◽  
pp. 095440622199486
Author(s):  
Can Gonenli ◽  
Hasan Ozturk ◽  
Oguzhan Das
Keyword(s):  
Finite Element ◽  
Free Vibration ◽  
Natural Frequency ◽  
Present Model ◽  
Mode Shapes ◽  
Load Parameter ◽  
Flexible Plate ◽  
Cantilever Plate ◽  
Finite Element Software ◽  
Aspect Ratios

In this study, the effect of crack on free vibration of a large deflected cantilever plate, which forms the case of a pre-stressed curved plate, is investigated. A distributed load is applied at the free edge of a thin cantilever plate. Then, the loading edge of the deflected plate is fixed to obtain a pre-stressed curved plate. The large deflection equation provides the non - linear deflection curve of the large deflected flexible plate. The thin curved plate is modeled by using the finite element method with a four-node quadrilateral element. Three different aspect ratios are used to examine the effect of crack. The effect of crack and its location on the natural frequency parameter is given in tables and graphs. Also, the natural frequency parameters of the present model are compared with the finite element software results to verify the reliability and validity of the present model. This study shows that the different mode shapes are occurred due to the change of load parameter, and these different mode shapes cause a change in the effect of crack.

Numerical solutions for strain-softening surrounding rock under three-dimensional principal stress condition

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Sheng Yu-ming ◽  
Li Chao ◽  
Xia Ming-yao ◽  
Zou Jin-feng
Keyword(s):  
Finite Element ◽  
Principal Stress ◽  
Stress Condition ◽  
Strain Softening ◽  
Numerical Solutions ◽  
Three Dimensional ◽  
Strength Criterion ◽  
Surrounding Rock ◽  
Flow Rule ◽  
Finite Element Software

Abstract In this study, elastoplastic model for the surrounding rock of axisymmetric circular tunnel is investigated under three-dimensional (3D) principal stress states. Novel numerical solutions for strain-softening surrounding rock were first proposed based on the modified 3D Hoek–Brown criterion and the associated flow rule. Under a 3D axisymmetric coordinate system, the distributions for stresses and displacement can be effectively determined on the basis of the redeveloped stress increment approach. The modified 3D Hoek–Brown strength criterion is also embedded into finite element software to characterize the yielding state of surrounding rock based on the modified yield surface and stress renewal algorithm. The Euler implicit constitutive integral algorithm and the consistent tangent stiffness matrix are reconstructed in terms of the 3D Hoek–Brown strength criterion. Therefore, the numerical solutions and finite element method (FEM) models for the deep buried tunnel under 3D principal stress condition are presented, so that the stability analysis of surrounding rock can be conducted in a direct and convenient way. The reliability of the proposed solutions was verified by comparison of the principal stresses obtained by the developed numerical approach and FEM model. From a practical point of view, the proposed approach can also be applied for the determination of ground response curve of the tunnel, which shows a satisfying accuracy compared with the measuring data.

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