• Title/Summary/Keyword: in-plane statics

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A Study on the Transient Motion Analysis for the Liquid Balinced Washing Machine (액체밸런서를 고려한 세탁기의 과도응답 특성에 관한 연구)

  • 이동익;오재응
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.1
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    • pp.1-13
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    • 1995
  • In order to investigate the effect of liquid balancer in washing machine, we identify the vibration characteristics of suspension system of washing machine and formulate the 4 D. O. F. system dynamic equations. As the washing machine rotates higher speed, it is emphasized to reduce the ecentric force due to unbalanced mass. Nowadays, the most effective cancelling method of eccentric force is known as the usage of liquid balancer. To determine the liquid distribution in liquid balancer, the fluid statics is considered. The system dynamic equations are solved by Runge-Kutta method and represent the good characteristics of real washing machine in X-Y plane. The accuracy of the numerical solution was examined by experiments. The simulation results show that the unbalanced mass has so much influence on vibration magnitude and the rotating shape of spin-basket. But the effect of mass reduction due to the dehydration of the spin-basket has little influence on transient vibration.

전단변형을 고려한 곡선보의 미분구적법(DQM) 내평면 진동해석

  • Gang Gi-Jun
    • Proceedings of the Korean Institute of Industrial Safety Conference
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    • 2001.11a
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    • pp.111-117
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    • 2001
  • The problem of the vibration of arches has become a subject of interest for many investigators due to Its importance in many practical applications. The early investigators into the in-plane vibration of rings were Hoppe $^{1)}$ and Love $^{2)}$ . Love $^{2)}$ improved on Hoppe's theory by allowing for stretching of the ring. Lamb $^{3)}$ investigated the statics of incomplete ring with various boundary conditions and the dynamics of an incomplete free-free ring of small curvature.(omitted)

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미분구적법을 이용한 곡선보의 내평면 진동분석

  • Gang Gi-Jun;Han Ji-Won
    • Proceedings of the Korean Institute of Industrial Safety Conference
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    • 2000.11a
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    • pp.17-26
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    • 2000
  • The early investigators into the in-plane vibration of rings were Hoppe $Hoppe ^{1)}$ and $Love ^{2)}$. $Love ^{2)}$ Improved on Hoppe's theory by allowing for stretching of the ring. $Lamb ^{3)}$ investigated the statics of incomplete ring with various boundary conditions and the dynamics of an incomplete free-free ring of small curvature. Den $Hartog ^{4)}$ used the Rayleigh-Ritz method for finding the lowest natural frequency of circular arcs with simply supported or clamped ends and his work was extended by Volterra and $Morell ^{5)}$ for the vibrations of arches having center lines in the form of cycloids, catenaries or parabolas.(omitted)

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A unified formulation for static behavior of nonlocal curved beams

  • Tufekci, Ekrem;Aya, Serhan A.;Oldac, Olcay
    • Structural Engineering and Mechanics
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    • v.59 no.3
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    • pp.475-502
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    • 2016
  • Nanobeams are widely used as a structural element for nanodevices and nanomachines. The development of nano-sized machines depends on proper understanding of mechanical behavior of these nano-sized beam elements. Small length scales such as lattice spacing between atoms, surface properties, grain size etc. are need to be considered when applying any classical continuum model. In this study, Eringen's nonlocal elasticity theory is incorporated into classical beam model considering the effects of axial extension and the shear deformation to capture unique static behavior of the nanobeams under continuum mechanics theory. The governing differential equations are obtained for curved beams and solved exactly by using the initial value method. Circular uniform beam with concentrated loads are considered. The displacements, slopes and the stress resultants are obtained analytically. A detailed parametric study is conducted to examine the effect of the nonlocal parameter, mechanical loadings, opening angle, boundary conditions, and slenderness ratio on the static behavior of the nanobeam.