• Title/Summary/Keyword: Penalty element

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Prediction of vibration response of functionally graded sandwich plates by zig-zag theory

  • Simmi, Gupta;H.D., Chalak
    • Advances in aircraft and spacecraft science
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    • v.9 no.6
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    • pp.507-523
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    • 2022
  • This study is aimed to accurately predict the vibration response of two types of functionally graded sandwich plates, one with FGM core and another with FGM face sheets. The gradation in FGM layer is quantified by exponential method. An efficient zig-zag theory is used and the zigzag impacts are established via a linear unit Heaviside step function. The present theory fulfills interlaminar transverse stress continuity at the interface and zero condition at the top and bottom surfaces of the plate for transverse shear stresses. Nine-noded C-0 FE having 8DOF/node is utilized throughout analysis. The present model is free from the obligation of any penalty function or post-processing technique and hence is computationally efficient. Numerical results have been presented on the free vibration behavior of sandwich FGM for different end conditions, lamination schemes and layer orientations. The applicability of present model is confirmed by comparing with published results. Several new results are also specified, which will serve as the benchmark for future studies.

A Study on the Feasibility of the Espionage Charges for the Industrial Technology Divulgence (산업기술의 해외유출행위에 대한 간첩죄 처벌 타당성 연구)

  • Kim, Hang-Gon;Lee, Chang-Moo
    • Korean Security Journal
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    • no.57
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    • pp.253-275
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    • 2018
  • Economic security emerged as a strong element of national security. Nations around the world are exerting their efforts to collect economic intelligence to serve their national interest while making added efforts to uncover industrial espionage and arrest industrial spies in defensive aspect. Cases in point are the enactment of "Economic Espionage Act(1996)" of the U.S. and the "Act on Prevention of Divulgence and Protection of Industrial Technology(2006)"of Korea. Korea is trying to punish industrial spying on the same level as espionage that poses national security threat by revising Criminal Code. It is necessary to review whether the move to toughen the punishment of industrial spying from "up to 15 years in prison and/or up to 1.5 billion won in fine" to "minimum seven years of imprisonment, life imprisonment or death penalty" is appropriate. Advanced nations regulate industrial spying with a special act on economy although they have applied espionage act not to "enemy states" but to "foreign countries" in the first place. Likewise, preventing industrial spying by applying espionage act through the revision of criminal code poses a risk of undermining the autonomy of industry sector by excessive influence of state power. Furthermore, the penalty of minimum imprisonment of seven years, life imprisonment or death penalty with the application of espionage act under the criminal code is an legal application by stretching of the law, posing a risk of dampening healthy economic activities. Therefore, revising and applying relevant economic laws such as aforementioned 'Act on Prevention of Divulgence and Protection of Industrial Technology(2006)' is thought to be desirable to achieve the goal of protecting industrial technologies.

Development of Finite Element Domain Decomposition Method Using Local and Mixed Lagrange Multipliers (국부 및 혼합 Lagrange 승수법을 이용한 영역분할 기반 유한요소 구조해석 기법 개발)

  • Kwak, Jun Young;Cho, Hae Seong;Shin, Sang Joon;Bauchau, Olivier A.
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.25 no.6
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    • pp.469-476
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    • 2012
  • In this paper, a finite element domain decomposition method using local and mixed Lagrange multipliers for a large scal structural analysis is presented. The proposed algorithms use local and mixed Lagrange multipliers to improve computational efficiency. In the original FETI method, classical Lagrange multiplier technique was used. In the dual-primal FETI method, the interface nodes are used at the corner nodes of each sub-domain. On the other hand, the proposed FETI-local analysis adopts localized Lagrange multipliers and the proposed FETI-mixed analysis uses both global and local Lagrange multipliers. The numerical analysis results by the proposed algorithms are compared with those obtained by dual-primal FETI method.

Design Methodology of Automotive Wheel Bearing Unit with Discrete Design Variables (이산 설계변수를 포함하고 있는 자동차용 휠 베어링 유닛의 설계방법)

  • 윤기찬;최동훈
    • Transactions of the Korean Society of Automotive Engineers
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    • v.9 no.1
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    • pp.122-130
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    • 2001
  • In order to improve the efficiency of the design process and the quality of the resulting design, this study proposes a design method for determining design variables of an automotive wheel-bearing unit of double-row angular-contact ball bearing type by using a genetic algorithm. The desired performance of the wheel-bearing unit is to maximize system life while satisfying geometrical and operational constraints without enlarging mounting spae. The use of gradient-based optimization methods for the design of the unit is restricted because this design problem is characterized by the presence of discrete design variables such as the number of balls and standard ball diameter. Therefore, the design problem of rolling element bearings is a constrained discrete optimization problem. A genetic algorithm using real coding and dynamic mutation rate is used to efficiently find the optimum discrete design values. To effectively deal with the design constraints, a ranking method is suggested for constructing a fitness function in the genetic algorithm. A computer program is developed and applied to the design of a real wheel-bearing unit model to evaluate the proposed design method. Optimum design results demonstrate the effectiveness of the design method suggested in this study by showing that the system life of an optimally designed wheel-bearing unit is enhanced in comparison with that of the current design without any constraint violations.

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Computation of Pressure Fields for a Hybrid Particle-Mesh Method (하이브리드 입자-격자 방법에서의 압력장 계산)

  • Lee, Seung-Jae;Suh, Jung-Chun
    • Journal of the Society of Naval Architects of Korea
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    • v.51 no.4
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    • pp.328-333
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    • 2014
  • A hybrid particle-mesh method based on the vorticity-velocity formulation for solving the incompressible Navier-Stokes equations is a combination of the Vortex-In-Cell(VIC) method for convection and the penalization method for diffusion. The key feature of the numerical methods is to determine velocity and vorticity fields around a solid body on a temporary grid, and then the time evolution of the flow is computed by tracing the convection of each vortex element using the Lagrangian approach. Assuming that the vorticity and velocity fields are to be computed in time domain analysis, pressure fields are estimated through a complete set of solutions at present time step. It is possible to obtain vorticity and velocity fields prior to any pressure calculation since the pressure term is eliminated in the vorticity-velocity formulation. Therefore, pressure field is explicitly treated by solving a suitable Poisson equation. In this paper, we propose a simple way to numerically implement the vorticity-velocity-pressure formulation including a penalty term. For validation of the proposed numerical scheme, we illustrate the early development of viscous flows around an impulsive started circular cylinder for Reynolds number of 9500.

Identification of impact forces on composite structures using an inverse approach

  • Hu, Ning;Matsumoto, Satoshi;Nishi, Ryu;Fukunaga, Hisao
    • Structural Engineering and Mechanics
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    • v.27 no.4
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    • pp.409-424
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    • 2007
  • In this paper, an identification method of impact force is proposed for composite structures. In this method, the relation between force histories and strain responses is first formulated. The transfer matrix, which relates the strain responses of sensors and impact force information, is constructed from the finite element method (FEM). Based on this relation, an optimization model to minimize the difference between the measured strain responses and numerically evaluated strain responses is built up to obtain the impact force history. The identification of force history is performed by a modified least-squares method that imposes the penalty on the first-order derivative of the force history. Moreover, from the relation of strain responses and force history, an error vector indicating the force location is defined and used for the force location identification. The above theory has also been extended into the cases when using acceleration information instead of strain information. The validity of the present method has been verified through two experimental examples. The obtained results demonstrate that the present approach works very well, even when the internal damages in composites happen due to impact events. Moreover, this method can be used for the real-time health monitoring of composite structures.

Anti-sparse representation for structural model updating using l norm regularization

  • Luo, Ziwei;Yu, Ling;Liu, Huanlin;Chen, Zexiang
    • Structural Engineering and Mechanics
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    • v.75 no.4
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    • pp.477-485
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    • 2020
  • Finite element (FE) model based structural damage detection (SDD) methods play vital roles in effectively locating and quantifying structural damages. Among these methods, structural model updating should be conducted before SDD to obtain benchmark models of real structures. However, the characteristics of updating parameters are not reasonably considered in existing studies. Inspired by the l norm regularization, a novel anti-sparse representation method is proposed for structural model updating in this study. Based on sensitivity analysis, both frequencies and mode shapes are used to define an objective function at first. Then, by adding l norm penalty, an optimization problem is established for structural model updating. As a result, the optimization problem can be solved by the fast iterative shrinkage thresholding algorithm (FISTA). Moreover, comparative studies with classical regularization strategy, i.e. the l2 norm regularization method, are conducted as well. To intuitively illustrate the effectiveness of the proposed method, a 2-DOF spring-mass model is taken as an example in numerical simulations. The updating results show that the proposed method has a good robustness to measurement noises. Finally, to further verify the applicability of the proposed method, a six-storey aluminum alloy frame is designed and fabricated in laboratory. The added mass on each storey is taken as updating parameter. The updating results provide a good agreement with the true values, which indicates that the proposed method can effectively update the model parameters with a high accuracy.

An Optimum Design of Sandwich Panel at Fixed Edges (고정지지된 Sandwich Panel의 최적설계에 관한 연구)

  • K.S. Kim;I.T. Kim;Y.Y. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.2
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    • pp.115-122
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    • 1992
  • A sandwich element is a special Hybrid structural form of the composite construction, which is consisted of three main parts : thin, stiff and relatively high density faces separated by a thick, light, and weaker core material. In a sandwich construction, the shear deformation of the faces. Therefore, in the calculation of the bending stiffness, the shear effect should be included. In this paper, the minimum weight is selected as an object function, as the weight critical structures are usually composed of these kind of construction. To obtain the minimum weight of sandwich panel, the principle of minimum potential energy is used and as for the design constraints, the allowable bending stress of face material, the allowable shear stress of core material, the allowable value of panel deflection and the wrinkling stress of faces are adopted, as well as the different boundary conditions. For the engineering purpose of sandwich panel design, the results are tabulated, which are calculated by using the nonlinear optimization technique SUMT.

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Damage Mechanism of Drift Ice Impact

  • Gong, Li;Wang, Zhonghui;Li, Yaxian;Jin, Chunling;Wang, Jing
    • Journal of Information Processing Systems
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    • v.15 no.6
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    • pp.1350-1364
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    • 2019
  • The ice damage occurs frequently in cold and dry region of western China in winter ice period and spring thaw period. In the drift ice condition, it is easy to form different extrusion force or impact force to damage tunnel lining, causing project failure. The failure project could not arrive the original planning and construction goal, giving rise to the water allocation pressure which influences diversion irrigation and farming production in spring. This study conducts the theoretical study on contact-impact algorithm of drift ices crashing diversion tunnel based on the symmetric penalty function in finite element theory. ANSYS/LS-DYNA is adopted as the platform to establish tunnel model and drift ice model. LS-DYNA SOLVER is used as the solver and LS-PREPOST is used to do post-processing, analyzing the damage degrees of drift ices on tunnel. Constructing physical model in the experiment to verify and reveal the impact damage mechanism of drift ices on diversion tunnel. The software simulation results and the experiment results show that tunnel lining surface will form varying degree deformation and failure when drift ices crash tunnel lining on different velocity, different plan size and different thickness of drift ice. The researches also show that there are damages of drift ice impact force on tunnel lining in the thawing period in cold and dry region. By long time water scouring, the tunnel lining surfaces are broken and falling off which breaks the strength and stability of the structure.

Stability and P-Δ Analysis of Generalized Frames with Movable Semi-Rigid Joints (일반화된 부분강절을 갖는 뼈대구조물의 안정성 및 P-Δ 해석)

  • Min, Byoung Cheol
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.33 no.2
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    • pp.409-422
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    • 2013
  • For stability design and P-${\Delta}$ analysis of steel frames with semi-rigid connections, the explicit form of the exact tangential stiffness matrix of a generalized semi-rigid frame element having rotational and translational connections is firstly derived using the stability functions. And its elastic and geometric stiffness matrix is consistently obtained by Taylor series expansion. Next depending on connection types of semi-rigidity, the corresponding tangential stiffness matrices are degenerated based on penalty method and static condensation technique. And then numerical procedures for determination of effective buckling lengths of generalized semi-rigid frames members and P-${\Delta}$ and shortly addressed. Finally three numerical examples are presented to demonstrate the validity and accuracy of the proposed method. Particularly the minimum braced frames and coupled buckling modes of the corresponding frames are investigated.