• Title/Summary/Keyword: maximum element order

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Large deformation modeling of flexible manipulators to determine allowable load

  • Esfandiar, Habib;Korayem, Moharam H.;Haghpanahi, Mohammad
    • Structural Engineering and Mechanics
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    • v.62 no.5
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    • pp.619-629
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    • 2017
  • This paper focuses on the study of complete dynamic modeling and maximum dynamic load carrying capacity computation of N-flexible links and N-flexible joints mobile manipulator undergoing large deformation. Nonlinear dynamic analysis relies on the Timoshenko theory of beams. In order to model the system completely and precisely, structural and joint flexibility, nonlinear strain-displacement relationship, payload, and non-holonomic constraints will be considered to. A finite element solution method based on mixed method is applied to model the shear deformation. This procedure is considerably more involved than displacement based element and shear deformation can be readily included without inducing the shear locking in the element. Another goal of this paper is to present a computational procedure for determination of the maximum dynamic load of geometrically nonlinear manipulators with structural and joint flexibility. An effective measure named as Moment-Height Stability (MHS) measure is applied to consider the dynamic stability of a wheeled mobile manipulator. Simulations are performed for mobile base manipulator with two flexible links and joints. The results represent that dynamic stability constraint is sensitive when calculating the maximum carrying load. Furthermore, by changing the trajectory of end effector, allowable load also changes. The effect of torsional spring parameter on the joint deformation is investigated in a parametric sensitivity study. The findings show that, by the increase of torsional stiffness, the behavior of system approaches to a system with rigid joints and allowable load of robot is also enhanced. A comparison is also made between the results obtained from small and large deformation models. Fluctuation range in obtained figures for angular displacement of links and end effector path is bigger for large deformation model. Experimental results are also provided to validate the theoretical model and these have good agreement with the simulated results.

Shear locking-free analysis of thick plates using Mindlin's theory

  • Ozdemir, Y.I.;Bekiroglu, S.;Ayvaz, Y.
    • Structural Engineering and Mechanics
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    • v.27 no.3
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    • pp.311-331
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    • 2007
  • The purpose of this paper is to study shear locking-free analysis of thick plates using Mindlin's theory and to determine the effects of the thickness/span ratio, the aspect ratio and the boundary conditions on the linear responses of thick plates subjected to uniformly distributed loads. Finite element formulation of the equations of the thick plate theory is derived by using higher order displacement shape functions. A computer program using finite element method is coded in C++ to analyze the plates clamped or simply supported along all four edges. In the analysis, 8- and 17-noded quadrilateral finite elements are used. Graphs and tables are presented that should help engineers in the design of thick plates. It is concluded that 17-noded finite element converges to exact results much faster than 8-noded finite element, and that it is better to use 17-noded finite element for shear-locking free analysis of plates. It is also concluded, in general, that the maximum displacement and bending moment increase with increasing aspect ratio, and that the results obtained in this study are better than the results given in the literature.

Finite Element Analysis on Hydration Heat of Concrete under the Influence of Reinforcing Steel Bars

  • Yoon, Dong-Yong;Song, Hyung-Soo;Min, Chang-Shik
    • International Journal of Concrete Structures and Materials
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    • v.19 no.1E
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    • pp.33-39
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    • 2007
  • The magnitude and distribution of hydration heat of concrete structures are related to the thermal properties of each component of the concrete, the initial temperature, the type of formwork, and the ambient temperature of exposed surfaces. Even though the reinforcing steel bar has completely different thermal properties, it has been excluded in the thermal analysis of the concrete structures for uncertain reasons. In this study, finite element analysis was performed on the concrete structures reinforced with steel bars in order to investigate the effect of reinforcing steel bars on the temperature and stress distribution due to the heat of hydration. As the steel content increased, the maximum temperature and the difference in the internal-external temperature decreased by 32.5% and 10.0%, respectively. It is clearly shown that the consideration of the influence of reinforcing steel bars in the heat of hydration analysis is necessary to obtain realistic solutions for the prediction of the maximum temperature and stresses of concrete structures.

Investigating the deflection of GLARE and CARALL laminates under low-velocity impact test, experimentally and FEM simulation

  • Meisam Mohammadi;Mohammad Javad Ramezani
    • Steel and Composite Structures
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    • v.47 no.3
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    • pp.395-403
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    • 2023
  • The main objective of this article is to investigate the response of different fiber metal laminates subjected to low velocity impact experimentally and numerically via finite element method (FEM). Hence, two different fiber metal laminate (FML) samples (GLARE/CARALL) are made of 7075-T6 aluminum sheets and polymeric composites reinforced by E-glass/carbon fibers. In order to study the responses to the low velocity impacts, samples are tested by drop weight machine. The projectiles are released from 1- and 1.5-meters height were the speed reaches to 4.42 and5.42 meter per second and the impact energies are measured as 6.7 and 10 Joules. In addition to experimental study, finite element simulation is done and results are compared. Finally, a detailed study on the maximum deflection, delamination and damages in laminates and geometry's effect of projectiles on the laminate response is done. Results show that maximum deflection caused by spherical projectile for GLARE samples is more apparent in comparison with the CARALL samples. Moreover, the maximum deflection of GLARE samples subjected to spherical projectile with 6.7 Joules impact energy, 127% increases in comparison with the CARALL samples in spite of different total thickness.

Optimal Current Control Method of BLDC Motor Utilizing Maximum Torque Point

  • Park, Chang-Seok;Jang, Jung-Hoon;Jung, Tae-Uk
    • Journal of the Korean Society of Industry Convergence
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    • v.20 no.3
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    • pp.213-220
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    • 2017
  • This paper proposes an optimal current control method for improving efficiency of Brushless Direct Current (BLDC) motor. The proposed optimal current control method is based on the maximum torque point analysis of Finite Element Analysis (FEA). The proposed method can increase the effective voltage at the maximum torque point of BLDC motor and increase the output torque per unit current to increase the efficiency. In order to verify the proposed optimal current control method, have developed the prototype of a 50 [W] class motor drive and experimented by 20 [W] motor using the dynamometer set. This was verified.

Investigation of Strain Behaviour around the Tip of Model Pile - Comparison between Laboratory Model Test and Numerical Analysis - (모형말뚝 선단부 주변의 변형률 거동 분석 - 실내모형실험과 수치해석 비교 -)

  • Lee, Yong Joo;Lee, Jung-Min
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.32 no.4C
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    • pp.159-167
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    • 2012
  • In this study, laboratory model pile-load test and finite element analysis were carried out to compare and analyze the strain behaviour around the model pile tip. In order to simulate the pile load, both the LCM(load control method)and DCM(displacement control method) were introduced to determine which one is appropriate for the FE simulation. In contrast to the previous simulation method, two interface elements around the model pile were used to consider the slip effect in the finite element analysis and its results were compared to the model test. Through this study it was found that the degree of non-associated flow was a dominant factor in terms of numerical solution convergence. In addition, an improved FE mesh was required to obtain the symmetric distribution of the maximum shear strain contour.

A Study on the Diagnosis of Secondary Battery by Phase Response (위상응답에 의한 이차전지의 진단에 관한 연구)

  • Park, Seung-Gon;Kang, Dea-Soo
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.19 no.4
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    • pp.99-104
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    • 2019
  • It was proposed the use of an inducive element to measure the SOH of a secondary battery by phase response. As a result of simulating the Randles equivalent model of a secondary battery, the inductive element used as the load has a high response characteristic and increases the maximum phase response frequency band. In order to obtain the frequency band in which the phase response characteristic of the secondary battery is well observed, the phase response was measured with the change of the inductance value of the inductive element, 33uH,49mohm inductive element with the maximum phase response at 631Hz was used. The phase response measurements for secondary battery with different SOH showed that the phase response for each 20% of SOH showed a difference of about 3.8(degree), enabling the SOH diagnosis of secondary battery by the phase measurement for the inductive element.

AN SDFEM FOR A CONVECTION-DIFFUSION PROBLEM WITH NEUMANN BOUNDARY CONDITION AND DISCONTINUOUS SOURCE TERM

  • Babu, A. Ramesh;Ramanujam, N.
    • Journal of applied mathematics & informatics
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    • v.28 no.1_2
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    • pp.31-48
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    • 2010
  • In this article, we consider singularly perturbed Boundary Value Problems(BVPs) for second order Ordinary Differential Equations (ODEs) with Neumann boundary condition and discontinuous source term. A parameter-uniform error bound for the solution is established using the Streamline-Diffusion Finite Element Method (SDFEM) on a piecewise uniform meshes. We prove that the method is almost second order of convergence in the maximum norm, independently of the perturbation parameter. Further we derive superconvergence results for scaled derivatives of solution of the same problem. Numerical results are provided to substantiate the theoretical results.

Multi-Objective Optimization of Multistory Shear Building Under Seismic Loads (지진하중을 받는 다층 뼈대구조물의 다목적 최적설계)

  • 조효남;민대홍;정봉교
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.10a
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    • pp.255-262
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    • 2002
  • In this paper, an improved multi-objective optimmum design method is proposed. And it is applied to steel frames under seismic loads. The multi-objective optimization problem is formulated with three optimality criteria, namely, minimum structural weight and maximum strain energy and stability. The Pareto curve can be obtained by performing the multi-objective optimization for multistory shear buildings. In order to efficiently solve the multi-objective optimization problem the decomposition method that separates both system-level and element-level is used. In addition, various techniques such as effective reanalysis technique with respect to intermediate variables and sensitivity analysis using an automatic differentiation (AD) we incorporated. Moreover, the relationship function among section properties induced from the profile is used in order to link system-level and element level. From the results of numerical investigation, it may be stated that the proposed method will lead to the more rational design compared with the conventional one.

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Higher Order Uniformly Convergent Numerical Scheme for Singularly Perturbed Reaction-Diffusion Problems

  • Anilay, Worku Tilahun;Duressa, Gemechis File;Woldaregay, Mesfin Mekuria
    • Kyungpook Mathematical Journal
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    • v.61 no.3
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    • pp.591-612
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    • 2021
  • In this paper, a uniformly convergent numerical scheme is designed for solving singularly perturbed reaction-diffusion problems. The problem is converted to an equivalent weak form and then a Galerkin finite element method is used on a piecewise uniform Shishkin mesh with linear basis functions. The convergence of the developed scheme is proved and it is shown to be almost fourth order uniformly convergent in the maximum norm. To exhibit the applicability of the scheme, model examples are considered and solved for different values of a singular perturbation parameter ε and mesh elements. The proposed scheme approximates the exact solution very well.