• Steel and Composite Structures
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• 제17권5호
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• pp.601-621
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• 2014

Repairing and strengthening structural members by bonding composite materials have received a considerable attention in recent years. The major problem when using bonded FRP or steel plates to strengthen existing structures is the high interfacial stresses that may be built up near the plate ends which lead to premature failure of the structure. As a result, many researchers have developed several analytical methods to predict the interface performance of bonded repairs under various types of loading. In this paper, a numerical solution using finite - difference method (FDM) is used to calculate the interfacial stress distribution in beams strengthened with FRP plate having a tapered ends under thermal loading. Different thinning profiles are investigated since the later can significantly reduce the stress concentration. In the present theoretical analysis, the adherend shear deformations are taken into account by assuming a parabolic shear stress through the thickness of both beam and bonded plate. The shear correction factor for I-section beams is also included in the solution. Numerical results from the present analysis are presented to demonstrate the advantages of use the tapers in design of strengthened beams.

• 한국소음진동공학회논문집
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• 제25권12호
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• pp.822-829
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• 2015

A transfer matrix method has been developed to determine the more accurate natural frequencies for the bending vibration of Bernoulli-Euler beam with linearly reduced width and a concentrated tip mass. The proposed method can be computed an infinite number of the natural frequencies using a single element. Using the differential equation, shear force, and bending moment in which can be deduced by the diverse variational principles, a transfer matrix is formulated. The roots of the differential equation are computed by the Frobenius method. The effect of the concentrated mass for the natural frequencies of width-tapered beams is examined through a parametric study, and to show the accuracy of the proposed method, the computed results compared with those obtained from commercial finite element analysis program(ANSYS).

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2009년도 춘계학술대회 논문집
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• pp.573-578
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• 2009

Starting from the rotating beam finite element in which the interpolating shape functions satisfies the governing static homogeneous differential equation of Euler-Bernoulli rotating beams, we derived new shape functions that satisfies the governing differential equation which contains the terms of hub radius and setting angle. The shape functions are rational functions which depend on hub radius, setting angle, rotational speed and element position. Numerical results for uniform and tapered cantilever beams with and without hub radius and setting angle are compared with the available results. It is shown that the present element offers an accurate method for solving the free vibration problems of rotating beam.

• 대한토목학회논문집
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• 제14권5호
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• pp.1023-1031
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• 1994

선형변단면(線形變斷面) I-형(型) 부재(部材)의 3차원(次元) 공간(空間)에서의 고유진동해석(固有振動解析)을 위하여 회전관성(回轉慣性)도 포함하는 컨시스턴트 질량행렬(質量行列)을 유도하였다. 유도과정(誘導過程)에서 정확한 형상함수(形狀函數)를 사용했다. 일반적으로 많이 사용되는 변단면부재(變斷面部材)의 경사(傾斜)는 매우 작으므로 '정형식(整形式)'으로 표현된 행렬(行列)을 사용하여 변단면(變斷面) 부재(部材)를 포함하는 구조물(構造物)을 해석할 때에 신빙성 없는 결과를 얻게 된다. 이러한 수치적(數値的) 오류(誤謬)를 피하기 위하여 '급수식(級數式)'을 유도했다. 변단면(變斷面) 부재(部材)의 구조물(構造物)을 해석하기 위하여 본 연구에서 유도된 질량행렬(質量行列)을 사용하여 구한 고유진동수(固有振動數)와 변단면(變斷面) 부재(部材)를 균일단면(均一斷面)의 탑형태(塔形態)로 표현하여 ANSYS에서 구한 고유진동수(固有振動數)를 비교하여 본 연구 결과 효율성과 정확성이 증진된 것을 확인하였다. 본 연구에서 유도된 질량행렬(質量行列)은 변단면(變斷面) 부재(部材)와 균일단면(均一斷面) 부재(部材)의 자유진동해석(自由振動解析)에 사용할 수 있다.

• 한국강구조학회 논문집
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• 제22권2호
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• pp.121-128
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• 2010

저층 장스팬 철골프레임에는 강재절감을 위해 휨모멘트 저항에 극대화한 판폭 두께비가 큰 변단면 부재를 사용하고 있다. 게다가, 밀착조임 볼트접합은 고장력 볼트조임에 비하여 공사비 절감과 시공용이성의 장점을 지니고 있다. 한편, 밀착조임 엔드플레이트 접합사용에 다수 장점을 가지고 있음에도 불구하고 구조적 거동 및 해석상의 복잡함이 존재한다. 이에 본 연구에서는 밀착조임 엔드플레이트 접합형 변단면 부재에 대한 실대형 실험을 행하였다. 변수로는 체결 토크치, 재하패턴, 볼트종류, 접합부 파괴형이다. Silva et al.과 AISC(2003)에서 제시한 강성 및 내력식을 이용한 예측결과를 실험결과와 비교하였다.

• Steel and Composite Structures
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• 제19권5호
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• pp.1279-1298
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• 2015

In this paper, free vibration characteristics of a rotating double tapered functionally graded beam is investigated. Material properties of the beam vary continuously through thickness direction according to the power-law distribution of the volume fraction of the constituents. The governing differential equations of motion are derived using the Hamilton's principle and solved utilizing an efficient and semi-analytical technique called the Differential Transform Method (DTM). Several important aspects such as taper ratios, rotational speed, hub radius, as well as the material volume fraction index which have impacts on natural frequencies of such beams are investigated and discussed in detail. Numerical results are tabulated in several tables and figures. In order to demonstrate the validity and accuracy of the current analysis, some of present results are compared with previous results in the literature and an excellent agreement is observed. It is showed that the natural frequencies of an FG rotating double tapered beam can be obtained with high accuracy by using DTM. It is also observed that nondimensional rotational speed, height taper ratio, power-law exponent significantly affect the natural frequencies of the FG double tapered beam while the effects of hub radius and breadth taper ratio are negligible.

• Journal of Mechanical Science and Technology
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• 제17권3호
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• pp.380-390
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• 2003

This paper addresses the problem of the modeling and vibration control of tapered rotating blade modeled as thin-walled beams and incorporating damping capabilities. The blade model incorporates non-classical features such as anisotropy, transverse shear, secondary warping and includes the centrifugal and Coriolis force fields. For the rotating blade system, a thorough validation and assessment. of a number of non-classical features including the taper characteristics is accomplished. The damping capabilities are provided by a system of piezoactuators bonded or embedded into the structure and spread over the entire span of the beam. Based on the converse piezoelectric effect, the piezoactuators produce a localized strain field in response to a voltage and consequently, a change of the dynamic response characteristics is induced. A velocity feedback control law relating the piezoelectrically induced transversal bending moment at the beam tip with the appropriately selected kinematical response quantity is used and thebeneficial effects upon the closed-loop dynamic characteristics of the blade are highlighted.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1999년도 봄 학술발표회 논문집
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• pp.137-144
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• 1999

The finite element method was adopted to find out the natural frequencies of a sinusoidally tapered beam with simply supported boundary conditions. The parameters considered in the numerical analysis are the taper parameter, $\alpha$ ($\alpha$=0.0, 0.1, ~ , 2.0) and the sectional property parameters, m and n [(m, n):(0, 2), (1, 3), (2, 4)]. It is generally known that the results of the numerical analysis corresponding to each pair of sectional property parameters, (m, n) are represented by second order polynominals of $\alpha$ . The coefficients of a in the polynominals are determined by using the regression technique, which reveals small m in most cases of given sectional property parameters (m, n).

• 대한기계학회논문집
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• 제18권12호
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• pp.3127-3135
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• 1994

An approach to the simultaneous optimal design of structure and control system for large free-free flexible beam is presented. The flexible beam is modeled by the finite element method. And the reduced model of small degree of freedom is constructed by use of modal analysis. The tapered beam is considered so that the number of design variables is not dependent on the increasing number of finite elements. The width of several points of tapered beam and control gain are taken as design variables. The shape of beam and control gain are optimized simultaneously for the minimum weight of total structure including control system subject to the constraints of the magnitude of displacement of beam. It is shown that the simultaneous optimal design of structure and control systems is indeed useful.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 1991년도 춘계학술대회논문집; 한국해사기술연구소, 대전; 1 Jun. 1991
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• pp.159-161
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• 1991

보는 토목, 건설, 기계, 선박, 항공등 각종 구조공학 관련분야에서 가장 기본이 되는 구조단위 중에 하나이다. 구조물에서 단면을 변단면으로 하는 경우에는 재료가 절약되는 경제적 잇점이 있을 뿐만 아니라 미적 감각등 여러가지 이유로 변단면을 많이 사용하는 추세이다. 이 논문은 변단면 보의 자유진동을 해석한 결과를 통계적으로 처리하여 변단면 보의 고유진동수를 산정할 수 있는 고유진동수 방정식을 추정하는데 연구목적이 있다.