Abstract
Computational method for 3-dimensional overturning response of rigid prism is discussed with some interesting results. Analytical assumptions are introduced as follows. 1. At least one of vertexes of the prism contacts with a floor. And sliding between the prism and floor is not assumed. 2. Only rotational motion around X, Y-axis are permitted at a point of contact. Moment is not transmitted. 3. The motion of the prism equals to a rigid pendulum's. 4. After an instantaneous collision with a floor, the prism continues to move with specific character of rigid pendulum. To avoid computational difficulty, numerical integration is applied directly to solve constrained redundant equations which is similar to linear equations. After assured accuracy of computational method with fundamental examples, 3-dimensional effects of pendulum response by response spectra and overturning tendency of prisms by overturning
