• Title/Summary/Keyword: Dynamic equations

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Lifting Analysis Considering Three Dimensional Dynamic Responses of a Boom based on Finite Element Formulation (유한요소 붐 모델의 3차원 동적 거동을 고려한 리프팅 해석)

  • Park, Kwang-Phil;Cha, Ju-Hwan;Lee, Kyu-Yeul
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.8
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    • pp.753-760
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    • 2010
  • In this paper, the lifting analysis of a floating crane with a shipbuilding block is performed. Since floating cranes are operated in ocean waves, six degree-of-freedom motions are considered in the dynamic equations of motions of the floating crane and the block. The boom of the floating crane is considered as an elastic body in the analysis, and is modeled as three dimensional beam based on the finite element formulation. The hydrostatic and hydrodynamic forces by a regular wave are considered as external forces. By solving the equations of motions numerically, the dynamic responses of the floating crane and the block are simulated. The simulation results with different wave directions are compared and the conditions which cause maximum responses are discussed.

Dynamic Characteristics of an Eccentric Crack in a Functionally Graded Piezoelectric Ceramic Strip

  • Shin, Jeong-Woo;Kim, Tae-Uk;Kim, Sung-Chan
    • Journal of Mechanical Science and Technology
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    • v.18 no.9
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    • pp.1582-1589
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    • 2004
  • The dynamic response of an eccentric Griffith crack in functionally graded piezoelectric ceramic strip under anti-plane shear impact loading is ana lysed using integral transform method. Laplace transform and Fourier transform are used to reduce the problem to two pairs of dual integral equations, which are then expressed to Fredholm integral equations of the second kind. We assume that the properties of the functionally graded piezoelectric material vary continuously along the thickness. The impermeable crack boundary condition is adopted. Numerical values on the dynamic stress intensity factors are presented for the functionally graded piezoelectric material to show the dependence of the gradient of material properties and electric loadings.

Strain Rate Sensitive Behavior of Mild Steel Subjected to Dynamic Load (동 하중에 대한 연강 재질의 변형율 속도 민감도 특성 연구)

  • Park, Jong-Chan
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.377-382
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    • 2004
  • The dynamic material characteristics on some mild steel sheets were observed. The dynamic tests were conducted on the ESH servo-hydraulic test machine. It was observed that the mechanical properties of mild steel are highly sensitive to the value of strain rate. The well known Cowper-Symonds constitutive equation was used to generalize the strain rate sensitivity effect. Modified constitutive equations were suggested to couple the strain hardening to the strain rate sensitivity. The dynamic stress-strain relationships for the mild steel sheets used in the present study were reasonably predicted using these modified constitutive equations.

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Numerical Analysis of Dynamic Stress Concentrations in Axisymmetric Problems (축대칭 문제에서의 동적 응력집중 해석)

  • Sim, Woo-Jin;Lee, Sung-Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.11
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    • pp.2364-2373
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    • 2002
  • In this paper, the finite element equations for the time-domain numerical analysis of transient dynamic axisymmetric problems are newly presented. which are based on the equations of motion in convolution integral as in the previous paper. A hollow cylinder subjected to a sudden internal pressure is solved first as a benchmark problem and then the dynamic stress concentrations are analyzed in detail far hollow cylinders having inner and outer circumferential grooves subjected to sudden internal or axial loadings, all the computed results are compared with the existing or the computed ones obtained by using the commercial finite element packages Nastran and Ansys to show the validity and capability of the presented method.

Analysis of the Fluid Dynamic Bearings with Curve Surfaces in the Spindle Motor of a Computer Hard Disk Drive (컴퓨터 하드 디스크 드라이브 스핀들 모터에 사용되는 곡면 유체 동압 베어링 해석)

  • Kim, Hak-Woon;Jang, Gun-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.11a
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    • pp.401-406
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    • 2008
  • This paper proposes a method to calculate the static characteristics of the FDBs with the curved surface. The general Reynolds equations are derived for the curved surfaces in the ${\theta}s$ plane. And the Reynolds equation is transformed to the finite element equations by considering the continuity of pressure and flow at the interface between the curved, journal and the thrust bearings. It also includes the Reynolds boundary condition in the numerical analysis to simulate the cavitation phenomenon. The static characteristics of the coupled journal and conical bearings were investigated due to the variation of conical angle. It shows that the conical angle is one of the important design parameters affecting the static and dynamic characteristics of FBBs.

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Dynamic Analysis of Spindle System with Magnetic Coupling(ll) (마그네틱 커플링을 장착한 축계의 동적해석(II))

  • Kim, S.G.;Lee, J.M.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.7
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    • pp.107-113
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    • 1995
  • Using the mathematical model of the torsional vibration in spindle system with magnetic coupling, which was proposed in the paper of dynamic analysis of spindle system with magnetic coupling(l), we derive the equations of the motion and the form of the derived equations represents Duffing equation. Numerical analyses are executed in many conditions, namely the various types in magnetic coupling, changes of the gap between driver and follower. To verify the results of the therorectical analyses, a precision dynamic drive system is manufactured and methods of the test to measure the torsional vibration of the spindle system with magnetic coupling are presented ad thests in various conditions are carried out.

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Formulating Analytical Solution of Network ODE Systems Based on Input Excitations

  • Bagchi, Susmit
    • Journal of Information Processing Systems
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    • v.14 no.2
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    • pp.455-468
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    • 2018
  • The concepts of graph theory are applied to model and analyze dynamics of computer networks, biochemical networks and, semantics of social networks. The analysis of dynamics of complex networks is important in order to determine the stability and performance of networked systems. The analysis of non-stationary and nonlinear complex networks requires the applications of ordinary differential equations (ODE). However, the process of resolving input excitation to the dynamic non-stationary networks is difficult without involving external functions. This paper proposes an analytical formulation for generating solutions of nonlinear network ODE systems with functional decomposition. Furthermore, the input excitations are analytically resolved in linearized dynamic networks. The stability condition of dynamic networks is determined. The proposed analytical framework is generalized in nature and does not require any domain or range constraints.

NUMERICAL SIMULATION OF UNSTEADY MISSILE STAGING SYSTEM (미사일 단분리 시스템의 비정상 유동장 해석)

  • Yoon Y. H.;Kwon K. B.;Hong S. K.
    • Journal of computational fluids engineering
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    • v.10 no.4 s.31
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    • pp.24-31
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    • 2005
  • A dynamic simulation on the missile staging system is conducted with numerical techniques. Both Euler equations and Navier-Stokes equations are numerically solved respectively. The dynamic simulation of two moving bodies is fully integrated into the computational fluid dynamics solution procedure. The Chimera grid scheme is applied in this simulation for unsteady supersonic flow analysis with dynamic modeling. The objective of the study is to investigate the problem pertaining to possible unstability in missile staging. In addition, the computational comparison between in viscid and viscid flow solvers is also performed in this study.

Dynamic Response of a Beam Structure with Discrete Supports Subjected to a Moving Mass (이동질량에 의한 이산지지 보 구조물의 동적응답)

  • Oh, B.J.;Ryu, B.J.;Lee, G.S.;Lee, Y.S.
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.3
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    • pp.264-270
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    • 2011
  • This paper deals with dynamic response of a beam structure with discrete spring-damper supports under a moving mass. Governing equations of motion taking into account of all inertia effects of the moving mass were derived by Galerkin's mode summation method, and Runge-Kutta integration method was applied to solve the differential equations. The effects of the speed of the moving mass, spring stiffness, damping coefficient, span number of a beam structure, mass ratio of the moving mass on the dynamic response of the beam structure have been studied. Some numerical results provide design engineers for the beam structure design with discrete supports under a moving mass.

Dynamic stiffness matrix of composite box beams

  • Kim, Nam-Il
    • Steel and Composite Structures
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    • v.9 no.5
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    • pp.473-497
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    • 2009
  • For the spatially coupled free vibration analysis of composite box beams resting on elastic foundation under the axial force, the exact solutions are presented by using the power series method based on the homogeneous form of simultaneous ordinary differential equations. The general vibrational theory for the composite box beam with arbitrary lamination is developed by introducing Vlasov°Øs assumption. Next, the equations of motion and force-displacement relationships are derived from the energy principle and explicit expressions for displacement parameters are presented based on power series expansions of displacement components. Finally, the dynamic stiffness matrix is calculated using force-displacement relationships. In addition, the finite element model based on the classical Hermitian interpolation polynomial is presented. To show the performances of the proposed dynamic stiffness matrix of composite box beam, the numerical solutions are presented and compared with the finite element solutions using the Hermitian beam elements and the results from other researchers. Particularly, the effects of the fiber orientation, the axial force, the elastic foundation, and the boundary condition on the vibrational behavior of composite box beam are investigated parametrically. Also the emphasis is given in showing the phenomenon of vibration mode change.