Abstract
An optimal design method of rock bolting is proposed utilizing a topology optimization scheme, which has been developed on the basis of the mathematical homogenization theory. The installation spacings and angles of rockbolts are adopted as design parameters, and the reinforcing effect of the rock bolts, such as to increase the stiffness and strenght of rock mass, can be quantitatively evaluated by the homogenization analysis and expressed as functions of the design parameters. By use of them three kinds of objective functionals, which represent the global compliance and the stability against collapse of the reinforced rock mass, are defined. Optimization problems to minimize o these objective functionals are then formulated and solved by the optimal criteria method, then the optimal spacings and angles of rock bolts are designed. A standard patten of rock bolts for road tunnel is optimized as example, and the effectiveness of the proposed method is shown.
