• Title/Summary/Keyword: Finite difference sensitivity

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Improvement of Dynamic Characteristics for Optical Pickup Actuator using Finite Difference Scheme and Automated Design Synthesis (유한차분법과 ADS(Automated Design Synthesis)를 이용한 광픽업 액추에이터의 동특성 개선)

  • Jung, Gi-Won;Lee, Jin-Woo;Lee, Dong-Ju;Park, No-Cheol;Park, Young-Pil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.12
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    • pp.1997-2003
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    • 2003
  • Recently, there have been many researches and developments in optical disc drive by high density of track and high access speed. Therefore, the optical pick-up should guarantee highly accurate dynamic characteristics for the wide bandwidth in order to cope with this trend. These demands for optical pick-up actuator can be solved by improvements of lens-holder through the following methods. The first way is the analysis of the sensitivity matrix of design variables for vibration modes after appropriate design parameters are selected like shapes and local dimensions of a lens-holder. The second way is the optimization of design variables by calculating sequential linear programming after the problem of extending bandwidth are converted to problem of minimizing adequate objective function. In the result, modified FE model is obtained through several iterations by finite difference scheme(FDS). While results of the first way show better convergence of the target frequency, the second result shows better reduction of mass increase.

The calculation of refined semi-analytic sensitivity based on the hybrid element (혼합 요소에서의 개선된 민감도 계산법)

  • Cho, Maeng-Hyo;Kim, Hyun-Gi
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.686-691
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    • 2001
  • Structural optimization often require the evaluation of design sensitivities. The Semi Analytic method(SAM) is popular for shape optimization because this method has several advantages. But when relatively large rigid body motions are identified for individual elements, the SA method shows severe inaccuracy. In this paper, the improvement of design sensitivities corresponding to the rigid body mode is evaluated by exact differentiation of the rigid body modes. Moreover, the error of the SA method caused by numerical difference scheme is alleviated by using a series approximation for the sensitivity derivatives and considering the higher order terms.

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Design Sensitivity Analysis of an Engine Mount System using the Multi-Domain FRF-based Substructuring Method (다중 전달함수합성 법을 이용한 엔진마운트 시스템의 설계민감도 해석)

  • 이두호;황우석
    • Transactions of the Korean Society of Automotive Engineers
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    • v.10 no.3
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    • pp.237-244
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    • 2002
  • Analyzing acoustic-structural systems such as automobiles and aircraft, the FRF-based substructuring (FBS) method is one of the most powerful tools. In this paper, a general procedure for the parametric sensitivity analysis of vibro-acoustic problems has been presented using the multi-domain FRF-based substructuring formulation. For an acoustic-structural system sub-structured by multiple domains, the substructuring formulation gives the reaction farces on the interface boundaries. The design sensitivity formula is obtained from the direct differentiation of the reaction force expression with respect to the design vector. As a practical application, the proposed design sensitivity formula is applied to an engine mount system of passenger car. An objective of the problem is to identify the most effective engine mounts and bushes in minimizing the interior noise over the concerned rpm range. The comparison of the sensitivity results with those of the finite difference method shows excellent agreement. In addition, stiffness modifications of the mounts and bushes identified through the design sensitivity analysis lead to a successful decrease of the interior noise. This results show usefulness of the present method very well.

Modal Tuning of HDD suspension system (HDD 서스펜션의 모달 튜닝)

  • Kim, Dong-Woohn;Park, Young-Phil
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.1583-1588
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    • 2000
  • The dynamic characteristics of a HDD suspension system are investigated by finite element analysis and experimental modal analysis. A finite element model of the suspension Type850 was developed for unloaded case. The calculated vibration modes were compared with measurements and agree well in shape and frequency except some local modes. Local thickness and Young's modulus of the finite element model are updated by modal tuning method to develop the precise FE model. A sensitivity matrix of the natural frequencies for some design variables was calculated using finite difference method. Most natural frequencies calculated by the tuned FE model coincide with the measurements and the errors between them are less than 2%.

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Process Optimal Design in Steady-State Metal Forming by Finite Finite Element Method-I Theoretical Considerations (유한요소법을 이용한 정상상태의 소성가공 공정의 최적설계-I - 이론적 고찰)

  • 전만수;황상무
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.3
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    • pp.443-452
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    • 1992
  • 본 연구에서는 소성가공 공정의 최적설계를 위한 새로운 접근 방법이 소개 된다.이방법은 소성가공 공정의 유한요소해석 기술과 기계시스템의 최적설계 기술 에 바탕을 두고 있다. 벌칙 강소성유한요소법, 정상 상태의 소성가공 공정(steady -state metal forming process)을 위한 최적설계 문제의 수식화, 설계민감도의 해석 방법, 설계민감도의 정확성에 관한 고찰, 구배투영법(gradient projection emthod)등 이 본 논문에서 상세하게 소개된다.

Heat and Mass Transfer Analysis of Phosphoric Acid Fuel Cell According to Variation of gas Flow passage (인산형 연료전지의 가스유로방향 변화에 따른 열 및 물질전달해석)

  • 전동협;정영식;채재우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.5
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    • pp.1338-1346
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    • 1994
  • The objective of this study is to investigate the effect of various parameters, such as temperature, mean current density and voltage on the performance of phosphoric acid fuel cell (PAFC) by numerical analysis. Two types of flow passages, which are Z-parallel type and Z-counter type, are evaluated to obtain the best current density and temperature distribution. Parametric studies and sensitivity analysis of the PAFC system's operation in single cell are accomplished. A steady state simulation of the entire system is developed using nonlinear ordinary differential equations. The finite difference method and trial and error procedures are used to obtain a solution.

Bearing capacity of foundation on rock mass depending on footing shape and interface roughness

  • Alencar, Ana S.;Galindo, Ruben A.;Melentijevic, Svetlana
    • Geomechanics and Engineering
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    • v.18 no.4
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    • pp.391-406
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    • 2019
  • The aim of this paper was to study the influence of the footing shape and the effect of the roughness of the foundation base on the bearing capacity of shallow foundations on rock masses. For this purpose the finite difference method was used to analyze the bearing capacity of various types and states of rock masses under the assumption of Hoek-Brown failure criterion, for both plane strain and axisymmetric model, and considering smooth and rough interface. The results were analyzed based on a sensitivity study of four varying parameters: foundation width, rock material constant (mo), uniaxial compressive strength and geological strength index. Knowing how each parameter influences the bearing capacity depending on the footing shape (circular vs strip footing) and the footing base interface roughness (smooth vs rough), two correlation factors were developed to estimate the percentage increase of the ultimate bearing capacity as a function of the footing shape and the roughness of the footing base interface.

Sensitivity Analysis of Linear Elastic Problem due to Variations of the Traction Boundary Conditions (하중경계조건의 변화에 대한 선형탄성문제의 민감도 해석)

  • 이태원
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.6
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    • pp.1852-1860
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    • 1991
  • A shape design sensitivity of the elastic deformation due to a change of traction boundary condition is presented. The solution of governing equations for a linear elasticity problem is obtained by finite element method and the traction boundary is defined by design variables. The performance functional to be considered involves both the domain and boundary integral. Variations of geometry can be defined as design velocity. Using material derivative concept and adjoint equations, the design sensitivity is derived by Lagrange multiplier method. For a given geometry of a structure, the change of traction boundary is described by the tangential component of the design velocity only. The final result for the shape design sensitivity is formulated as the boundary integral form, the integrand is defined by tangential component of design velocity and first order derivatives of parameters. Numerical implementation of design sensitivity is discussed and is compared with the difference of the actual values.

Comparison of Simulated PEC Probe Performance for Detecting Wall Thickness Reduction

  • Shin, Young-Kil;Choi, Dong-Myung;Jung, Hee-Sung
    • Journal of the Korean Society for Nondestructive Testing
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    • v.29 no.6
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    • pp.563-569
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    • 2009
  • In this paper, four different types of pulsed eddy current(PEC) probe are designed and their performance of detecting wall thickness reduction is compared. By using the backward difference method in time and the finite element method in space, PEC signals from various thickness and materials are numerically calculated and three features of the signal are selected. Since PEC signals and features are obtained by various types and sizes of probe, the comparison is made through the normalized features which reflect the sensitivity of the feature to thickness reduction. The normalized features indicate that the shielded reflection probe provides the best sensitivity to wall thickness reduction for all three signal features. Results show that the best sensitivity to thickness reduction can be achieved by the peak value, but also suggest that the time to peak can be a good candidate because of its linear relationship with the thickness variation.

A Method of Multidisciplinary Design Optimization via Coordination of Interdisciplinary Design Variables (분야간 연성된 설계변수의 처리를 통한 다분야통합최적설계 방법)

  • Jeong, Hee-Seok;Lee, Hyung-Joo;Lee, Jong-Soo
    • Proceedings of the KSME Conference
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    • 2001.06c
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    • pp.380-385
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    • 2001
  • The paper presents a new multidisciplinary design optimization architecture using optimal sensitivity and coordination of interdisciplinary design variables. Original design problem is decomposed into a number of sub-problems that represent individual engineering analysis. The coupled effects between sub-problems are computed by interdisciplinary design variables. System level coordination is determined by optimal parameter sensitivity calculated by finite difference method. The proposed. MDO strategy is applied to a simplified model of rotorcraft blade design associated with structures and aerodynamic disciplines.

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