• Title/Summary/Keyword: Differential analysis

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Differential transform method and numerical assembly technique for free vibration analysis of the axial-loaded Timoshenko multiple-step beam carrying a number of intermediate lumped masses and rotary inertias

  • Yesilce, Yusuf
    • Structural Engineering and Mechanics
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    • v.53 no.3
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    • pp.537-573
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    • 2015
  • Multiple-step beams carrying intermediate lumped masses with/without rotary inertias are widely used in engineering applications, but in the literature for free vibration analysis of such structural systems; Bernoulli-Euler Beam Theory (BEBT) without axial force effect is used. The literature regarding the free vibration analysis of Bernoulli-Euler single-span beams carrying a number of spring-mass systems, Bernoulli-Euler multiple-step and multi-span beams carrying multiple spring-mass systems and multiple point masses are plenty, but that of Timoshenko multiple-step beams carrying intermediate lumped masses and/or rotary inertias with axial force effect is fewer. The purpose of this paper is to utilize Numerical Assembly Technique (NAT) and Differential Transform Method (DTM) to determine the exact natural frequencies and mode shapes of the axial-loaded Timoshenko multiple-step beam carrying a number of intermediate lumped masses and/or rotary inertias. The model allows analyzing the influence of the shear and axial force effects, intermediate lumped masses and rotary inertias on the free vibration analysis of the multiple-step beams by using Timoshenko Beam Theory (TBT). At first, the coefficient matrices for the intermediate lumped mass with rotary inertia, the step change in cross-section, left-end support and right-end support of the multiple-step Timoshenko beam are derived from the analytical solution. After the derivation of the coefficient matrices, NAT is used to establish the overall coefficient matrix for the whole vibrating system. Finally, equating the overall coefficient matrix to zero one determines the natural frequencies of the vibrating system and substituting the corresponding values of integration constants into the related eigenfunctions one determines the associated mode shapes. After the analytical solution, an efficient and easy mathematical technique called DTM is used to solve the differential equations of the motion. The calculated natural frequencies of Timoshenko multiple-step beam carrying intermediate lumped masses and/or rotary inertias for the different values of axial force are given in tables. The first five mode shapes are presented in graphs. The effects of axial force, intermediate lumped masses and rotary inertias on the free vibration analysis of Timoshenko multiple-step beam are investigated.

New Higher-Order Differential Computation Analysis on Masked White-Box AES (마스킹 화이트 박스 AES에 대한 새로운 고차 차분 계산 분석 기법)

  • Lee, Yechan;Jin, Sunghyun;Kim, Hanbit;Kim, HeeSeok;Hong, Seokhie
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.30 no.1
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    • pp.1-15
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    • 2020
  • As differential computation analysis attack(DCA) which is context of side-channel analysis on white-box cryptography is proposed, masking white-box cryptography based on table encoding has been proposed by Lee et al. to counter DCA. Existing higher-order DCA for the masked white box cryptography did not consider the masking implementation structure based on table encoding, so it is impossible to apply this attack on the countermeasure suggested by Lee et al. In this paper, we propose a new higher-order DCA method that can be applied to the implementation of masking based on table encoding, and prove its effectiveness by finding secret key information of masking white-box cryptography suggested by Lee et al. in practice.

Dynamic analysis of electromechanical system (기전 시스템의 동역학 해석)

  • 김진식;박정훈;임홍재
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.1113-1118
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    • 2004
  • This paper presents the dynamic analysis method for an electromechanical system. The engineer has at his disposal a variety of software simulation tools. However, difficulties arise when the study of the behavior of complex electromechanical systems in combination with coupling element is required. Typical examples of such systems are machines for factory automation, home automation, and office automation. Dynamic systems analysis packages or electronic systems analysis packages offer the restrictive to simulate these mixed systems such electromechanical product. Electronic circuit analysis algorithm is easily incorporated into a multi-body dynamics analysis algorithm. The governing equation of electronic circuit is formulated as a differential algebraic equation form including both electrical and mechanical variables and is simultaneously solved in every time step. This analysis method clearly demonstrates the application potential for mixed electromechanical simulation.

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Vibration Analysis of Circular Plate with Continuously Varying Thickness (가변두께를 가지는 원판의 진동해석에 관한 연구)

  • Shin, Young Jae;Jaun, Su Ju;Yun, Jong Hak;Yoo, Yeong Chan
    • Journal of Korean Society of Steel Construction
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    • v.18 no.1
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    • pp.1-10
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    • 2006
  • paper presents the results of the use of the differential transformation technique in analyzing the free vibration of circular plates.calculations were carried out and were compared with previously published results. The results that were obtained when this method was used coincide with the results of The present analysis shows the usefulness and validity of differential transformation in solving a solid-circular and annular-plate problem in terms of free-vibration responses.

Differential Display Analysis of Gene Expression Induced under DCA Treatment in Rat Liver

  • Choi, Soon-Yong;Park, Ock-Jin
    • BMB Reports
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    • v.29 no.3
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    • pp.272-275
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    • 1996
  • The expression of genes induced by Dichloroacetate (DCA) treatment was analyzed by mRNA differential display. Purified total RNAs from rat liver treated with saline or DCA (100 mg/100 g b.w.) were reverse transcribed by using a set of oligonucleotide primers. The PCR products were resolved on a denaturing sequencing gel. PCR band representing mRNA expressed specifically in DCA-treated liver was excised and reamplified by PCR. A 120-bp c-DNA clone named IC1 was isolated and the DNA sequence of IC1 was analyzed. IC1 revealed 50% homology with 3' end of a mouse fibroblast growth factor mRNA This result indicates that DCA induces the expression of a gene which has a 50% homology with a Mouse fibroblast growth factor, and expression of this gene might be involved in non genotoxic process caused by DCA.

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A Study on Evaluation of the Korean and Western Dresses Using Semantic Differential Scales (의미분별척도법 (Semantic Differential)에 의한 양장과 한복의 이미지 비교 평가)

  • Hong Byung Sook
    • Journal of the Korean Society of Clothing and Textiles
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    • v.12 no.3 s.28
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    • pp.373-382
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    • 1988
  • The purpose of this study is to compare the image discrepancy with Korean clothing and Western clothing using semantic differential scales. 19 adjective pairs were used for this study. The survey questionnaire were given to 946 married - women in Seoul. For the statistical analysis frequency, percentage, mean, ANOVA, t-test and Factor analysis were used. T he major findings were as follows: 1. To evaluate the women's clothing, four major factors were obtained and it was found that women evaluated quite differently their dresses with Korean and western styles. 2. The major evaluating factor of Korean dress was aesthetic aspect and on the other hand the main factor of western dress was functional aspect.

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Free vibration analysis of moderately thick rectangular laminated composite plates with arbitrary boundary conditions

  • Naserian-Nik, A.M.;Tahani, M.
    • Structural Engineering and Mechanics
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    • v.35 no.2
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    • pp.217-240
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    • 2010
  • A semi-analytical method is presented for accurately prediction of the free vibration behavior of generally laminated composite plates with arbitrary boundary conditions. The method employs the technique of separation of spatial variables within Hamilton's principle to obtain the equations of motion, including two systems of coupled ordinary homogeneous differential equations. Subsequently, by applying the laminate constitutive relations into the resulting equations two sets of coupled ordinary differential equations with constant coefficients, in terms of displacements, are achieved. The obtained differential equations are solved for the natural frequencies and corresponding mode shapes, with the use of the exact state-space approach. The formulation is exploited in the framework of the first-order shear deformation theory to incorporate the effects of transverse shear deformation and rotary inertia. The efficiency and accuracy of the present method are demonstrated by obtaining solutions to a wide range of problems and comparing them with finite element analysis and previously published results.

Analysis of Transient Magnetic Diffusion in a High-Temperature Superconductor Tube (고온 초전도체 관에서의 과도 자기확산 해석)

  • 설승윤;정성기
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.15 no.11
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    • pp.991-996
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    • 2002
  • Transient magnetic diffusion process in a melt-cast BSCCO-2212 tube is analyzed by an analytical method. The transient diffusion partial differential equation is transformed into an ordinary differential equation by integral method. The penetration depth of magnetic field into a superconducting tube is obtained by solving the differential equation numerically. The results show that the penetration depth as a function of time which is somewhat different from the results by Bean's critical state model. The reason of the difference between the present results and that of Bean's model is discussed and compared in this paper.

Development of Aircraft 2-Stage Differential GRA (항공기용 2단 차동 GRA 개발)

  • Lee, Kang-Hee;Im, Dae-Jin;Lee, Sun-Hong;Park, Seul-Ki;Choi, Jin-Ho
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.15 no.6
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    • pp.115-121
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    • 2016
  • The aircraft flight control system controls an aircraft's direction and flying attitude, and actuators are key components of control systems. Actuators can be classified as Geared Rotary Actuator (GRA) and Ball Screw Actuator (BSA). GRA is used in mid-sized aircraft, and BSA is used in larger aircraft. A two-stage differential GRA model was suggested in this paper, and structural analysis and performance tests were performed. According to the analysis and experiment, the stiffness of the two-stage differential GRA was 17.57% higher than that of the conventional GRA, and the structural safety was improved.

Stability Analysis of Cracked Beams with Subtangential Follower Force and Tip Mass (경사 종동력과 끝질량을 갖는 크랙 보의 안정성 해석)

  • Son, In-Soo;Yoon, Han-Ik;No, Tae-Woo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.12
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    • pp.1410-1416
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    • 2009
  • In this paper, the purpose is to investigate the stability and variation of natural frequency of a cracked cantilever beams subjected to follower force and tip mass. In addition, an analysis of the flutter instability(flutter critical follower force) of a cracked cantilever beam as slenderness ratio and crack severity is investigated. The governing differential equations of a Timoshenko beam subjected to an end tangential follower force is derived via Hamilton's principle. The two coupled governing differential equations are reduced to one fourth order ordinary differential equation in terms of the flexural displacement. Finally, the influence of the slenderness ratio and crack severity on the critical follower force, stability and the natural frequency of a beam are investigated.