Rolling behavior of cylindrical micro-object analyzed by finite element method
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Rolling behavior of cylindrical micro-object analyzed by finite element method Toshihiro OCHIAI1, Shigeki SAITO1, and Kunio TAKAHASHI2 1 Dept. of Mechanical and Aerospace Engineering, Tokyo Institute of Technology 2-12-1 O-okayama, Meguro-ku, Tokyo, 152-8552, Japan 2 Dept. of International Development Engineering, Tokyo Institute of Technology 2-12-1 O-okayama, Meguro-ku, Tokyo, 152-8552, Japan ABSTRACT Analyzing the rolling behavior of micro-object is necessary for the realization of the micro-manipulation technique by mechanical-method. Thus in this paper, we obtain the rolling resistance of an isotropic elastic cylindrical micro-object in adhesive contact to a rigid surface. In order to estimate the rolling resistance, we assume this adhesive contact to be the plane strain problem, and calculate the total energy of this system as the numerical function of the contact area using finite element method (FEM). The total energy of this system is defined as the sum of the next three terms: the elastic energy of the cylindrical micro-object, the interface energy within the contact area, and the mechanical potential energy that depends on the external moment applied to the cylindrical micro-object. A careful consideration of the energy balance of the system clarifies that the rolling resistance has the value of 0.1 [10-12Nm] for the polystyrene (where a work of adhesion 0.1[N/m]) cylindrical micro-object with the radius and thickness. Hence, we establish the procedure of the calculation for the rolling resistance of the micro-object based on the principle of the energy balance by finite element method. INTRODUCTION Recently, many researches and developments of the mechanical system in micro scale, such as micro-electro-mechanical system (MEMS), Micro Machine and so on, are carried out actively. The improvement in the manufacturing process of silicon chips has leaded to such trends. The demand of the producing highly integrated industrial products becomes high, which we can see obviously in present-day industrial products. Therefore, the rapid establishment of the techniques to produce micro-scale mechanical systems is strongly expected. One case of the produce of the mechanical systems in the micro world is the development of intelligent-materials that can play roles as devices. The manufacturing process of these highly functional materials requires them precise manipulation and assembly of micro-particles into a three-dimensional structure. Therefore the micro-manipulation technique is necessary for realizing this process. The micro-manipulation technique includes three processes: Picking the micro-object from the substrate, carrying and placing it to an arbitrary point. By the repetition of these processes, the three-dimensional structure can be constructed. Such technique has been realized in the macro scale with the use of a gripper mechanism. In the micro scale, however, it is difficult to realize these processes by the same mechanism, because the surface force that causes the micro-object to
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