• Structural Engineering and Mechanics
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• 제87권2호
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• pp.191-200
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• 2023

This paper presents a mechanical model of a "tapered composite shaft" rotating at a constant speed around its axis. The spatial equations of motion are solved using the Lagrange technique, and a finite element approach is employed to construct the model. Theoretical analysis is used to compute the kinetic and strain energies. A comparison is made between conventional finite element methods and hierarchical finite element methods, indicating that the former uses fewer elements and provides higher accuracy in determining natural frequencies. Numerical calculations are performed to determine the eigen frequencies and critical speeds of the rotating composite shaft. The critical speeds of composite shaft systems are compared with existing literature to validate the proposed model.

• Advances in aircraft and spacecraft science
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• 제5권1호
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• pp.51-71
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• 2018

This work proposes a theoretical and numerical study on the behavior of a tapered shaft rotor made of composite materials by the classical version h and the version p of the finite element method. Hierarchical form functions are used to define the model. The purpose of this paper is to determine the expressions of the kinetic and potential energies of the tree necessary for the results of the equations of motion. A comparison between the version h and the p version of the finite element method of the functions of polynomial and trigonometric hierarchical forms with six degrees of freedom per node, of a composite tapered and cylindrical shaft which rotates at a constant speed about its axis. It is found that when the number of functions of form (the version p) is increased, the solution converges. It is also observed that the conicity of the shaft increases the rigidity with respect to a uniform shaft having the same mechanical properties. The numerical simulation allowed us to determine the natural frequencies and the critical speeds of the composite shaft systems are compared with those available in the literature and the effectiveness of the methods used are discussed.

• Steel and Composite Structures
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• 제48권4호
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• pp.429-441
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• 2023

This research presents an advanced finite element formulation for analyzing the vibratory behaviour of tapered composite shaft rotors, taking into account the impact of the draft angle on the stiffness of the composite shaft laminate. The vibration response of the shaft rotating around its axis is studied using both the finite element hierarchical method and the classical finite element formulation, based on the theory of transverse shear deformation, rotary inertia, gyroscopic effect, and coupling effect due to the stratification of the composite layers of the shaft. The study also includes the development of a program to calculate the Eigen frequencies and critical speeds of the system, and the obtained results are compared with those available in the literature. This research provides valuable insights into the vibratory behaviour of tapered composite shaft rotors and can be useful for designing and optimizing such structures in various industrial applications.

• 한국지반공학회논문집
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• 제23권8호
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• pp.35-45
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• 2007

말뚝의 거동특성은 지반조건 뿐만 아니라 말뚝의 형상에 의해서도 영향을 받는 것으로 알려져 있다. 본 논문에서는 비배토 테이퍼말뚝과 원통형말뚝의 연직거동과 지지력 특성을 조사하기 위해서 선단지지력과 주면마찰력을 분리해서 측정할 수 있는 모형말뚝과 가압토조를 이용해서 총 12회의 모형말뚝시험을 실시하였다. 시험결과 원통형말뚝의 주면 하중은 말뚝 직경의 4%에 해당하는 침하량에서 극한치에 도달하였다. 반면 테이퍼말뚝의 주면하중은 말뚝이 침하함에 따라 계속 증가하는 경향을 보였으며, 원통형말뚝의 주면하중보다 상당히 큰 것으로 나타났다. 그리고 조밀한 지반에서는 테이퍼말뚝의 전체지지력이 원통형말뚝보다 작은 반면 상대밀도가 보통인 지반에서는 테이퍼말뚝의 전체 지지력이 원통형말뚝보다 큰 것으로 나타났다. 테이퍼말뚝의 단위 극한선단지지력은 지반의 토압계수가 0.4보다 클 때 원통형말뚝보다 컸으며, 테이퍼말뚝의 단위 극한주면마찰력은 지반의 토압계수와는 무관하게 원통형말뚝보다 큰 것을 알 수 있었다.

• Advances in aircraft and spacecraft science
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• 제10권1호
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• pp.19-49
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• 2023

The present study proposes a theoretical and numerical investigation on the dynamic response behaviour of a functional graded (FG) ceramic-metal tapered rotor shaft system, by the differential quadrature finite elements method (DQFEM) to identify the natural frequencies for modelling and analysis of the structure with suitable validations. The purpose of this paper is to explore the influence of heat gradients on the natural frequency of rotation of FG shafts via three-dimensional solid elements, as well as a theoretical examination using the Timoshenko beam mode, which took into account the gyroscopic effect and rotational inertia. The functionally graded material's distribution is described by two distribution laws: the power law and the exponential law. To simulate varied thermal conditions, radial temperature distributions are obtained using the nonlinear temperature distribution (NLTD) and exponential temperature distribution (ETD) approaches. This work deals with the results of the effect on the fundamental frequencies of different material's laws gradation and temperature gradients distributions. Attempts are conducted to identify adequate explanations for the behaviours based on material characteristics. The effect of taper angle and material distribution on the dynamic behaviour of the FG conical rotor system is discussed.

• 대한기계학회논문집A
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• 제39권11호
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• pp.1183-1189
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• 2015

본 연구는 풍력발전기용 동력 전달부품의 테이퍼 연결장치 설계에 관한 것이다. 요구되는 전달토크의 크기, 동력을 전달하는 축의 직경, 테이퍼 링의 접촉면적 그리고 압축 면압을 부과하기 위한 볼트의 체결력 등이 테이퍼 연결장치 설계의 주요 변수이다. 테이퍼 연결의 계산은 축대칭 평면 변형률 조건의 복합링 구조로 가정하여 응력과 변형량을 계산 하였다. 축에 작용하는 면압은 요구 전달동력을 이용하여 계산하였고, 보강링에 작용하는 면압은 축과 허브의 변형량 일치 조건을 이용하여 계산하는 방법을 제안하였다. 복합링의 수식으로 구한 반경방향의 변형량으로 테이퍼 각도를 고려한 축방향 습동거리를 계산하였다. 수식으로 구한 응력과 상대습동거리의 타당성을 검증하기 위하여 유한요소해석을 수행하였으며 축방향의 하중이 발생하는 테이퍼면에서 원주방향의 응력이 최대 10% 수준의 오차를 보이고 있으나 그 외 응력분포와 상대습동거리는 수식적인 방법과 해석적인 방법이 일치함을 확인하였다.

• 한국지반공학회논문집
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• 제23권8호
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• pp.69-76
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• 2007

테이퍼말뚝의 연직거동은 지반의 응력상태와 내부마찰각, 말뚝의 벽면마찰각, 말뚝의 테이퍼 각도에 영향을 받는다. 본 논문에서는 테이퍼 각도가 말뚝의 연직거동에 미치는 영향을 조사하기 위해서 가압토조를 이용한 모형말뚝시험을 실시하였다. 시험결과에 따르면 말뚝의 테이퍼 각도가 커질수록 주면마찰력은 커지고 선단지지력은 감소하였으나, 단위 선단지지력의 경우 보통 상대밀도의 지반에서는 말뚝의 테이퍼 각도에 비례해서 증가하였으나 조밀한 지반에서는 테이퍼 각도에 따라 감소하였다. 그리고 말뚝의 전체지지력에 대한 주면마찰력의 비율은 테이퍼 각도가 커짐에 따라 그리고 지반의 상대밀도가 작아짐에 따라 증가하는 경향을 보였다. 또한 말뚝의 단위 체적당 전체지지력은 지반이 느슨할 때는 테이퍼 각도에 따라 증가했지만 조밀한 지반에서는 테이퍼 각도에 따라 감소하였다. 따라서 테이퍼말뚝은 조밀한 지반보다는 느슨한 지반에서 더 경제성이 있는 것으로 나타났다.

• Tribology and Lubricants
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• 제31권4호
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• pp.177-182
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• 2015

Tapered roller bearings are widely used in equipment where high combined thrust and radial loads are experienced. A certain amount of tilting between the tapered rollers and the races always occurs because of bending moment load conditions and shaft deflection. It is now well understood that a coherent elastohydrodynamic lubrication (EHL) film separates the rollers and races. In spite of extensive study on EHL problems for over half a century, relatively few studies have focused on the finite line contacts problem. This study presents a complete numerical analysis of the effects of roller tilting on the EHL characteristics in a tapered roller bearing. We systematically analyze this highly nonlinear problem using finite differences with fully non-uniform grids and the Newton-Raphson method. Detailed EHL pressure distributions and film shapes are presented under moderate loads and material parameters. A very small roller tilting significantly affects the pressure distributions and film shapes near both ends of the roller. Moreover, the effect of tilting on the EHL characteristics at the small end is much greater than that at the large end. Therefore, in designing optimum profiles for tapered roller bearings, the profile radius should be larger at the small end.

• 유공압시스템학회논문집
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• 제7권2호
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• pp.13-18
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• 2010

To improve the performance of the bent-axis type axial piston pump driven by the tapered piston, it is necessary to know the driving characteristics and mechanism of the tapered piston and the cylinder block. Since each piston not only rotates on its axis and reciprocates in the cylinder bore, but also revolves around the axis of the driving shaft, it is difficult to analyze the driving mechanism theoretically. The theoretical mechanism for the bent-axis type axial piston pump is studied by using the geometrical method. The driving range of the tapered piston is determined by theoretical equations. The experimental results show that the cylinder block is driven by one tapered piston in a limited range and the core parameters such as driving factor of the piston and the ahead delay angle influenced performance of the bent-axis type axial piston pump.

• 유공압시스템학회논문집
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• 제5권2호
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• pp.1-7
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• 2008

To improve the performance of the bent axis type axial piston pump driven by the tapered piston, it is necessary to know the driving characteristics and mechanism of the tapered piston and the cylinder block. Since each piston not only rotates on its axis and reciprocates in the cylinder bore, but also revolves around the axis of the driving shaft, it is difficult to analyze the driving mechanism theoretically. The theoretical mechanism far the bent axis type axial piston pump is studied by using the geometrical method. The driving range of the tapered piston is determined by theoretical equations. The results show that the cylinder block is driven by one tapered piston in a limited range and the core parameters such as driving factor of the piston and the ahead delay angle influenced performance of the bent axis type axial piston pump.