• Title/Summary/Keyword: minimum principle

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Static behavior of thermally loaded multilayered Magneto-Electro-Elastic beam

  • Vinyas, M.;Kattimani, S.C.
    • Structural Engineering and Mechanics
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    • v.63 no.4
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    • pp.481-495
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    • 2017
  • The present article examines the static response of multilayered magneto-electro-elastic (MEE) beam in thermal environment through finite element (FE) methods. On the basis of the minimum total potential energy principle and the coupled constitutive equations of MEE material, the FE equilibrium equations of cantilever MEE beam is derived. Maxwell's equations are considered to establish the relation between electric field and electric potential; magnetic field and magnetic potential. A simple condensation approach is employed to solve the global FE equilibrium equations. Further, numerical evaluations are made to examine the influence of different in-plane and through-thickness temperature distributions on the multiphysics response of MEE beam. A parametric study is performed to evaluate the effect of stacking sequence and different temperature profiles on the direct and derived quantities of MEE beam. It is believed that the results presented in this article serve as a benchmark for accurate design and analysis of the MEE smart structures in thermal applications.

Redundancy Resolution for Free-Floating Manipulators Using Kinematic Optimal Control Approach (기구학적 최적 제어를 사용한 자유 부유 매니퓰레이터의 여유도 해결)

  • Kim, Yong-Min;Kim, Byung-Kook
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.8
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    • pp.790-798
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    • 2011
  • An efficient sequential computation algorithm of kinematic optimal control is suggested for redundancy resolution of freefloating manipulators. Utilization of minimum principle usually requires involved and tedious procedure of differentiation of Hamiltonian. Due to the constraints of momentum conservation, it is not easy to get exact differential equations of boundary value problem for even relatively simple free-floating manipulator models. To overcome this difficulty, we developed an effective sequential algorithm for the computation of terms appeared in the differential equations. The usefulness of suggested approach is verified by simulation of a planar 3-joints free-floating manipulator.

On the numerical assessment of the separation zones in semirigid column base plate connections

  • Baniotopoulos, C.C.
    • Structural Engineering and Mechanics
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    • v.2 no.3
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    • pp.295-309
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    • 1994
  • The present paper concerns the mathematical study and the numerical treatment of the problem of semirigid connections in bolted steel column base plates by taking into account the possibility of appearance of separation phenomena on the contact surface under certain loading conditions. In order to obtain a convenient discrete form to simulate the structural behaviour of a steel column base plate, the continuous contact problem is first formulated as a variational inequality problem or, equivalently, as a quadratic programming problem. By applying an appropriate finite element scheme, the discrete problem is formulated as a quadratic optimization problem which expresses, from the standpoint of Mechanics, the principle of minimum potential energy of the semirigid connection at the state of equilibrium. For the numerical treatment of this problem, two effective and easy-to-use solution strategies based on quadratic optimization algorithms are proposed. This technique is illustrated by means of a numerical application.

A Study on Optimal Design of Composite Materials using Neural Networks and Genetic Algorithms (신경회로망과 유전자 알고리즘을 이용한 복합재료의 최적설계에 관한 연구)

  • 김민철;주원식;장득열;조석수
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.501-507
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    • 1997
  • Composite material has very excellent mechanical properties including tensile stress and specific strength. Especially impact loads may be expected in many of the engineering applications of it. The suitability of composite material for such applications is determined not only by the usual paramenters, but its impactor energy-absorbing properties. Composite material under impact load has poor mechanical behavior and so needs tailoring its structure. Genetic algorithms(GA) is probabilistic optimization technique by principle of natural genetics and natural selection and neural networks(NN) is useful for prediction operation on the basis of learned data. Therefore, This study presents optimization techniques on the basis of genetic algorithms and neural networks to minimum stiffness design of laminated composite material.

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A general convergence condition of the Newton-Raphson algorithm applied to compressible hyperelasticity

  • Peyraut, Francois;Feng, Zhi-Qiang;Labed, Nadia
    • Structural Engineering and Mechanics
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    • v.21 no.2
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    • pp.121-136
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    • 2005
  • This paper presents the implementation of the Blatz-Ko hyperelastic compressible model in a finite element program to deal with large deformation problems. We show analytically and numerically that the minimum number of increment steps in the Newton-Raphson algorithm depends on material properties and applied loads. We also show that this dependence is related to the orientation preservation principle. So we propose a convergence criteria based on the sign of eigenvalues of the deformation gradient matrix.

A trail on detection of Sb and As (미량의 As 와 Sb를 분리확인하는 실험)

  • 이명연;김유감
    • YAKHAK HOEJI
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    • v.3 no.1
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    • pp.45-47
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    • 1957
  • A paper chromatographical method is studied to detect As and Sb from a mixed sample applying the principle of Gutzeit's. After spoting the mixed $AsH_3$ sample on the $AgNO_3$ band of paper strip (6 mm $\times$ 300 mm of Whatman No.52 or Toyo No.2 filter paper), the strip is developed by ascending method using N-HCl solution as a developing soluvent. The color spot detection of As and Sb is done by exposing the dried chromatogram to $H_2S$ stream. According to the experiments, the detectable minimum range of As is 3 micrograms and that of Sb is 15 micrograms. The yellow phosphorous interfers to the color spot detection of As and Sb, so that, previously the most of yellow phosphorous from the sample should be removed out.

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Mitigation of Transmission Line Magnetic Field by Installation of Passive Shield-Loop. (수동루프 설치에 의한 송전선로 자계 저감)

  • Kim Jeong-Boo;Shin Koo-Yong;Shin Myung Chul
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.55 no.2
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    • pp.59-61
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    • 2006
  • In our country most of transmission lines are double-circuit lines. In these lines, the combining method of increasing conductor height and installation of passive shield-loop to mitigate magnetic field near a transmission line, is a good and feasible method. The basic principle of passive shield loop is that the field from the current induced in the shield loop conductors counteracts the field from the phase conductors. This method applied to domestic transmission lines to meet the magnetic field level, 100, 30, 10 and 4 mG, respectively. In each magnetic field level, the minimum conductor height and passive loop height are presented for the implementation of the practical design.

Random Vibration Analysis of Thick Composite Laminated Plate Using Mixed Finite Element Model (1) (혼합유한요소모델을 이용한 두꺼운 복합적층판의 불규칙 진동해석(1)-이론적 고찰)

  • Seok, Keun-Yung;Kang, Joo-Won
    • 한국공간정보시스템학회:학술대회논문집
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    • 2004.05a
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    • pp.190-196
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    • 2004
  • Thick composite laminated plates is considered in 3D finite-element. To consider continuity of transverse stresses and displacement field, mixed finite-element has been developed by using layerwise theory and the minimum potential energy principle. Mixed finite-element has been enforced through the thick direction, Z, of a laminated plate by considering six degree-of-freedoms per node. Six degree-of-freedoms are three displacement components in the coordinate axes directions and three transverse stress components ${\sigma}_z,\;{\tau}_{xz},\;{\tau}_{yz}$. The model maintain the fundamental elasticity relations that are stress-strain relation and displacement-strain relation, because the transverse stress components invoked as nodal degrees of freedom by using the fundamental elasticity relationship between th components of stress and displacement. Random vibration analysis of the model is performed by computing consistent mass matrix and computing covariance in frequency domain technique.

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Displacements of the helical stator tooth for an electromechanical integrated toroidal drive

  • Xu, Lizhong;Zheng, Dazhou
    • Interaction and multiscale mechanics
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    • v.2 no.4
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    • pp.413-430
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    • 2009
  • The stator tooth is a key component of the electromechanical integrated toroidal drive system. The stator tooth is spiral in shape and the calculation of its displacements is difficult. In this paper, using the coordinate transformation method, the displacements of the stator tooth in the local coordinate system are expressed as the function of the variable in the drive coordinate system. Using the minimum potential energy principle, the equations of the displacements of the stator tooth under the loads are deduced. The displacement distributions within the stator tooth are investigated and the changes of the displacement distributions along with the main parameters are analyzed. This research can offer the basis for the strength and stiffness design of the drive system.

Design and investigation of a shape memory alloy actuated gripper

  • Krishna Chaitanya, S.;Dhanalakshmi, K.
    • Smart Structures and Systems
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    • v.14 no.4
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    • pp.541-558
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    • 2014
  • This paper proposes a new design of shape memory alloy (SMA) wire actuated gripper for open mode operation. SMA can generate smooth muscle movements during actuation which make them potentially good contenders in designing grippers. The principle of the shape memory alloy gripper is to convert the linear displacement of the SMA wire actuator into the angular displacement of the gripping jaw. Steady state analysis is performed to design the wire diameter of the bias spring for a known SMA wire. The gripper is designed to open about an angle of $22.5^{\circ}$ when actuated using pulsating electric current from a constant current source. The safe operating power range of the gripper is determined and verified theoretically. Experimental evaluation for the uncontrolled gripper showed a rotation of $19.97^{\circ}$. Forced cooling techniques were employed to speed up the cooling process. The gripper is simple and robust in design (single movable jaw), easy to fabricate, low cost, and exhibits wide handling capabilities like longer object handling time and handling wide sizes of objects with minimum utilization of power since power is required only to grasp and release operations.