일단고정 타단스프링으로 지지된 변단면 Beck 기둥의 임계하중
Critical Loads of Tapered Beck's Columns with Clamped and Spring Supports
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초록
이 논문은 일단고정 타단스프링으로 지지된 변단면 Beck 기둥의 임계하중에 관한 연구이다. 기둥의 변단면을 중실 직사각형 단면을 갖는 선형 변단면으로 채택하고, Bernoulli-Euler보 이론을 이용하여 경사종동력이 작용하는 소위 Beck 기둥의 자유진동을 지배하는 상미분방정식과 경계조건을 유도하였다. 이 미분방정식을 수치해석하여 하중-고유진동수 곡선을 얻고 이로부터 발산임계하중 및 동요임계하중을 산출하였다. 수치해석의 결과로부터 변단면 형태, 경사변수 및 스프링 강성이 임계하중에 미치는 영향을 고찰하였다.
Abstract
This paper investigates critical loads of the tapered Beck's columns with clamped and spring supports, subjected to a subtangential follower force. The linearly tapered columns with the solid rectangular cross-section is adopted as the column taper. The differential equation governing free vibrations of such Beck's columns is derived using the Bernoulli-Euler beam theory. Both divergence and flutter critical loads are calculated from the load-frequency curves which are obtained by solving the differential equation. The critical loads are presented as functions of various non-dimensional system parameters: the taper type, the subtangential parameter and the spring stiffness.
참고문헌 (15)
- 이병구, "크로소이드 완화곡선을 갖는 수평 곡선보의 자유진동", 15(1), pp.189~195 (2002)
- Beck,M, "Die Knicklast Des einseitig eingespannten", zeitschrift fr angewandte mathematik und physik(3), pp.225~228 (1952)
- Bokaian,A, "Natural frequencies of beams under compressive axial loads", 126, pp.49~65 (1988)
- Chen,L.W. Ku,D.M, "Eigenvalue sensitivity in the stability analysis of Beck's column with a concentrated mass at the free end", 153, pp.403~411 (1992)
- Koiter, W.T, "Unrealistic follower forces", 194, pp.636~638 (1996)
- Kounadis,A,Katsikadelis,J.T, "Shear and rotatory inertia effect on Beck's column", 49, pp.171~178 (1976)
- Kuo,S.R. Yang,Y.B, "Critical load analysis of undamped non-conservative systems using bieigenvalue curves", 32, pp.2462~2468 (1994)
- Kupta,A.K, "Vibrations of tapered beams", asce(113), pp.1244~1247 (1985)
- Langthjem, A, "Optimum shape design against flutter of a cantilevered column with an end-mass of finite size subjected to a non-conservative load", 226, pp.1~23 (1999)
- Lee, B.K, "Elastica and buckling load of simple tapered columns with constant volume", 37, pp.2507~2518 (2000)
- Pedersen,P, "Influence of boundary conditions on the stability of a column under non- conservative load", 13, pp.445~455 (1977)
- Ryu, B.J, "The influence of an intermediate support on the dynamic stability of cantilevered Timoshenko beams subjected to subtangential forces", pp.163~168 (1997)
- Sankaran,G.V.,Rao,G.V, "Stability of tapered cantilever columns subjected to follower forces", 6, pp.217~220 (1976)
- Sato, K, "Instability of a clamped-elastically restrained Timoshenko column carrying a tip load, subjected to a follower force", 194, pp.623~630 (1996)
- Sugiyama, Y, "Realistic follower forces", 225, pp.779~782 (1999)