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Book Remodeling Analysis of Femur Using Hybrid Beam Theory
김승종,정재연,하성규,Kim, Seung-Jong,Jeong, Jae-Yeon,Ha, Seong-Gyu The Korean Society of Mechanical Engineers 2000 大韓機械學會論文集A Vol.24 No.2
An investigation has been performed to develop an analysis tool based on a nonlinear beam theory, which can be used to predict the long-term behavior of an artificial hip joint. The nonlinear behav ior of the femur arise from the coupled dependence of the bone density and the mechanical properties on each other. The beam theory together with its numerical algorithm is developed to take into account the nonlinear bone remodeling process of the femur that is long enough to be assumed as a beam. A piecewise linear curve for the bone remodeling rate is used in the bone remodeling theory and the surface area density of bone is modeled as the third order polynomial function of bone density. At each section of the beam, a constant curvature is assumed and the longitudinal strains are also assumed to vary linearly across the section. The Newton-Rhapson iteration method is used to solve the nonlinear equations for each cross section of the bone and a backward method is used to march along the time. The density and the remodeling signal ar, calculated along with time for the various time steps, and the developed beam theory has been verified by comparing with the results of finite element analysis of a remodeling bone with an artificial hip joint of titanium prosthesis subjected to uni-axial loads and pure bending moment. It is concluded that the developed beam theory can be used to predict the long-term behavior of the femur and thus to design the artificial hip prosthesis.
유승열(Seong Yeol Yoo),김우연(Woo yeon Kim),김승종(Seung Jong Kim),이욱륜(Wook Ryun Lee),배용채(Yong Chae Bae),노명규(Myounggyu Noh) 대한기계학회 2011 大韓機械學會論文集A Vol.35 No.4
본 논문에서는 환형 영구자석을 이용한 스러스트 베어링의 최적설계에 대하여 기술하였다. 영구자석형 스러스트 베어링은 두 조의 환형 영구자석으로 이루어지며, 한 조의 영구자석이 다른 한 조의 영구자석 내부에 위치한다. 영구자석간의 축방향 변위 (엇갈림)에 의해 축방향 힘이 발생하고 이를 통해 스러스트 베어링 역할을 하게 된다. 최소한의 영구자석으로 베어링 부하용량을 만족하는 베어링 설계 파라미터를 구하기 위해 본 논문에서는 등가전류판 방법을 이용하여 해석적 설계식을 유도하고, 적절한 제한 조건을 설정하여 최적 설계를 수행하였다. 최적 설계 결과는 3 차원 유한요소해석을 통해 검증하였다. 본 논문에서 고려한 축방향 배열과 Halbach 배열의 스러스트 베어링 중 Halbach 배열이 축방향 배열에 비해 동일한 부피의 영구자석으로 더 큰 부하용량을 얻을 수 있음을 확인하였다. 등가전류판 방법의 유효성을 3 차원 유한요소해석을 통해 검증하였고, 축 방향 배열보다Halbach 배열이 등가전류판 방법의 가정에 좀 더 민감하게 영향을 받는 것을 알 수 있었다. In this paper, we describe a process for optimally designing a ring-type permanent magnet thrust bearing. The bearing consists of two sets of permanent magnet rings. One set is located inside the other set. An axial offset between the two sets creates axial force, which results in a thrust bearing function. In order to realize an optimal design of the bearing where the required load capacity of the bearing is achieved with the least magnet volume, we derived analytical design equations by adopting the equivalent current sheet (ECS) method. We considered the following two types of magnet arrays: axial arrays and Halbach arrays. These two types of arrays are optimized using the analytical design equations. The results of the optimization are verified using three dimensional (3D) finite element analyses (FEA). The results show that the Halbach array can achieve the required load capacity with less amount of permanent magnet than the axial array does. The efficacy of the ECS method is also verified by using 3D FEA. It is found that the accuracy of ECS method is more sensitive to the underlying assumptions for the Halbach array than for the axial array.
곽호성(Kwak, Ho-Seong),최동훈(Choi, Dong-Hoon),김승종(Kim, Seung-Jong) 한국소음진동공학회 2006 한국소음진동공학회 논문집 Vol.16 No.12
This paper introduces a step motor with a passively levitated rotor which comprises a homopolar step motor and a passive magnetic bearing. Compared with conventional self-bearing motors which are mostly based on the active magnetic bearing technology, the proposed motor has a very simple structure and operating principle. For the levitation, it works just like passive magnetic bearings which use the repulsive force between permanent magnets. Halbach array is used to increase the bearing stiffness. On the other hand, its rotation principle is just the same with that of conventional motors. In this paper, we introduce the design scheme to avoid the flux interference possibly produced by electromagnets and permanent magnets, and show some results of FEM analysis to predict the performance of the proposed motor.