• Title/Summary/Keyword: single-degree-of-freedom system

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Study on the Design Method Development of Crash Cushion Using Single Degree of Freedom (단자유도계를 이용한 충격흡수시설의 설계법 개발)

  • Joo, Jae-Woong;Kim, Ki-Jung;Jang, Dae-Young;Son, Seung-Neo
    • International Journal of Highway Engineering
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    • v.9 no.3
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    • pp.91-100
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    • 2007
  • The most important thing for driver's safety on the road is equipment of crash cushion as a vehicle protection safety facility. But development of crash cushion is defective because there's no rational and reality way of design. And also without an alternative plan, it rely on crash test hereby it suffers a great economic loss and wastes time. This study that uses data of cash test proves the suitability of single degree of freedom which considers the safety of passengers about three-dimensional complicated Crash Analysis. As the study analyzes the conduct of crash cushion, it want to develop the effective method of design on Single Degree of Freedom Crash Cushion. And it presents the way of crash cushion design through making a crash analysis model with single degree of freedom. To verify the validness of the crash cushion plan, with single degree of freedom plan, we make the level CC2 crash cushion and execute the crash test. A performance test brings satisfied result and a plan of single degree of freedom crash cushion is proven as an one of the way to be a good system which can design crash cushion.

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A simple approach for the fundamental period of MDOF structures

  • Zhao, Yan-Gang;Zhang, Haizhong;Saito, Takasuke
    • Earthquakes and Structures
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    • v.13 no.3
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    • pp.231-239
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    • 2017
  • Fundamental period is one of the most critical parameters affecting the seismic design of buildings. In this paper, a very simple approach is presented for estimating the fundamental period of multiple-degree-of-freedom (MDOF) structures. The basic idea behind this approach is to replace the complicated MDOF system with an equivalent single-degree-of-freedom (SDOF) system. To realize this equivalence, a procedure for replacing a two-degree-of-freedom (2-DOF) system with an SDOF system, known as a two-to-single (TTS) procedure, is developed first; then, using the TTS procedure successively, an MDOF system is replaced with an equivalent SDOF system. The proposed approach is expressed in terms of mass, stiffness, and number of stories, without mode shape or any other parameters; thus, it is a very simple method. The accuracy of the proposed method is investigated by estimating the fundamental periods of many MDOF models; it is found that the results obtained by the proposed method agree very well with those obtained by eigenvalue analysis.

Numerical investigation on multi-degree-freedom nonlinear chaotic vibration isolation

  • Jiang, Guoping;Tao, Weijun
    • Structural Engineering and Mechanics
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    • v.51 no.4
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    • pp.643-650
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    • 2014
  • A chaotic vibration isolation system is designed according to the chaotic vibration theory in this paper. The strong nonlinearity is generated by the system. Line spectra in the radiated noise maybe easily detected caused by marine vessels. It is Important to reduce the line spectra by improving the acoustic stealth of marine vessels. A multi-degree-freedom (MDF) nonlinear vibration isolation system (NVIS) system is setup by the experiment and finite element method. The model is established with finite element method. The results show that the behavior of the device gradually varies from period bifurcation into chaotic state and the line spectrum is changed from single spectral structure into broadband spectral structure. It is concluded that chaotic vibration isolation is preferable contrasted on line spectra isolation.

Overview on Standards for Soil-Structure Interaction Analysis used in Design of Infrastructure (일반 시설물의 지반-구조물 상호작용 해석 기준에 대한 고찰)

  • Kim, Hyun-Uk;Ha, Jeong-Gon;Kim, Dong-Soo;Joo, Kwang-Ho
    • Journal of the Earthquake Engineering Society of Korea
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    • v.21 no.5
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    • pp.227-236
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    • 2017
  • This study reviews concepts, theories and formulas included in standards on soil-structure interaction and also shows practical example of application for engineers. Real structures are 3 dimensional and multi degree of freedom but they are often idealized to single degree of freedom for convenience. In this study, detailed procedures to calculate soil spring constants and damping coefficients and method to model soil-structure system are explained. Additionally, case studies to judge fixed base condition and evaluation of applicability of simple analysis method based on response spectra are performed.

Static and dynamic stability of a single-degree-of-freedom autonomous system with distinct critical points

  • Sophianopoulos, D.S.
    • Structural Engineering and Mechanics
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    • v.4 no.5
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    • pp.529-540
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    • 1996
  • The dynamic buckling mechanism of a single-degree-of-freedom dissipative/nondissipative gradient system is thoroughly studied, employing energy criteria. The model is chosen in such a manner, that its corresponding static response is associated with all types of distinct critical points. Under a suddenly applied load of infinite duration, it is found that dynamic buckling, occurring always through a saddle, leads to an escaped motion, which is finally attracted by remote stable equilibrium positions, belonging sometimes also to complementary paths. Moreover, although the existence of initial imperfection changes the static behaviour of the system from limit point instability to bifurcation, it is established that the proposed model is dynamically stable in the large, regardless of the values of all other parameters involved.

Estimation of earthquake induced story hysteretic energy of multi-Story buildings

  • Wang, Feng;Zhang, Ning;Huang, Zhiyu
    • Earthquakes and Structures
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    • v.11 no.1
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    • pp.165-178
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    • 2016
  • The goal of energy-based seismic design is to obtain a structural design with a higher energy dissipation capacity than the energy dissipation demands incurred under earthquake motions. Accurate estimation of the story hysteretic energy demand of a multi-story structure is the key to meeting this goal. Based on the assumption of a mode-equivalent single-degree-of-freedom system, the energy equilibrium relationship of a multi-story structure under seismic action is transformed into that of a multi-mode analysis of several single degree-of-freedom systems. A simplified equation for the estimation of the story seismic hysteretic energy demand was then derived according to the story shear force and deformation of multi-story buildings, and the deformation and energy relationships between the mode-equivalent single-degree-of-freedom system and the original structure. Sites were categorized into three types based on soil hardness, namely, hard soil, intermediate hard (soft) soil, and soft soil. For each site type, a 5-story and 10-story reinforced concrete frame structure were designed and employed as calculation examples. Fifty-six earthquake acceleration records were used as horizontal excitations to validate the accuracy of the proposed method. The results verify the following. (1) The distribution of seismic hysteretic energy along the stories demonstrate a degree of regularity. (2) For the low rise buildings, use of only the first mode shape provides reasonably accurate results, whereas, for the medium or high rise buildings, several mode shapes should be included and superposed to achieve high precision. (3) The estimated hysteretic energy distribution of bottom stories tends to be underestimated, which should be modified in actual applications.

Geometrical Design Theory of a 6 DOF Vibration Absorber (6자유도 진동 흡진기의 기하적 설계 이론)

  • Jang Seon Jun;Choi Yong Je
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.7 s.172
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    • pp.191-199
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    • 2005
  • Many researchers have been investigating the design of multi-mode absorption vibration absorber for multi degree-of-freedom (DOF) system. The approach taken to this problem has been to find the optimized constants of stiffness and damping for the given set of single-DOF absorbers or single multi-DOF absorber attached to a multi degree-of-freedom system. This paper presents a novel geometrical and direct design theory of a 6 DOF vibration absorber via screw theory. Theoretical development is demonstrated by a practical example in which the diagonal stiffness matrix is synthesized using rectangular configuration of springs. The performance of this absorber is simulated by modal analysis.

Transitional Vibration Characteristics of Single Degree of Freedom System through the Resonance (공진을 통과하는 일자유도계의 과도진동 특성)

  • Chung, Tae-Jin;Hong, Dong-Pyo;Tae, Sin-Ho
    • Journal of the Korean Society for Precision Engineering
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    • v.10 no.3
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    • pp.41-46
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    • 1993
  • The transitional characterisics of oscillations and rotational speeds from the starting to the stationary states in damped single degree of freedom systems acted upon the rotor unbalance forces are studied. Angular travel is assumed to vary with time. The theoretical analysis is obtained by using Laplace transform method. Integration involved in the theoretical results is carried out by the numerical analysis program of continuous-time linear systems to arbitrary inputs. It is evident that the transitional charcterixtics of a machine are affected remarkably by damping ratios, stationary angular velocity time and frequency ratios.

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Two Degree of Freedom Robust Controller Design of a Seeker Scan-Loop (탐색기 주사루프의 2자유도 강인제어기 설계)

  • Lee, Ho-Pyeong;Song, Chang-Seop
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.10
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    • pp.157-165
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    • 1995
  • The new formulation of designing the two degree of freedom(TDF) robust controller is proposed using $H_{\infty}$optimization and model matching method. In this formulation the feedback controller and feedforward controller are designed in a single step using $H_{\infty}$optimization procedure. Roughly speaking, the feedback controller is designed to meet robust stability and disturbance rejection specifications, while the feedforward controller is used to improve the robust model matching properties of the closed loop system. The proposed formulation will be illustrated and evaluated on a seeker scan-loop. And the performances of TDF robust controller are compared with those of the $H_{\infty}$ controller designed using Loop Shaping Design Procedure proposed by McFarlane and Glover.lover.

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Microcontroller based split mass resonant sensor for absolute and differential sensing

  • Uma, G.;Umapathy, M.;Kumar, K. Suneel;Suresh, K.;Josephine, A. Maria
    • Smart Structures and Systems
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    • v.5 no.3
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    • pp.279-290
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    • 2009
  • Two degrees of freedom resonant systems are employed to improve the resonant property of resonant sensor, as compared to a single degree of freedom resonant system. This paper presents design, development and testing of two degrees of freedom resonant sensor. To measure absolute mass, cantilever shaped two different masses (smaller/absorber mass and bigger/drive mass) with identical resonant frequency are mechanically linked to form 2 - Degree-of-Freedom (DOF) resonator which exhibits higher amplitude of displacement at the smaller mass. The same concept is extended for measuring differential quantity, by having two bigger mass and one smaller mass. The main features of this work are the 3 - DOF resonator for differential detection and the microcontroller based closed loop electronics for resonant sensor with piezoelectric sensing and excitation. The advantage of using microcontroller is that the method can be easily extended for any range of measurand.