A Mathematical Model for Dynamic Response of a Rigid Block on a Circular ARC Sliding Surface

Abstract eng:
This paper presents a mathematical model to describe dynamic response of a rigid block on a circular arc sliding surface during an earthquake. The rigid block is under excitations of both horizontal and vertical accelerations. The model can be considered an extension of the well-known Newmark sliding block model. A numerical technique based on a fourth-order Runge-Kutta step-by-step time integration scheme was used to solve the derived dynamic differential equation. A computer program was developed following this numerical technique. Under a given earthquake motion, the sliding acceleration, sliding velocity, and sliding displacement can be obtained for the rigid block on a pre-defined circular arc sliding surface. The model proposed in this paper can find many applications, such as seismic analyses of dams and embankments, protection of historic monuments, and maintenance of art items in museums.

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket