A theoretical model for the estimation of maximum impact force from a rockfall based on contact theory A theoretical model for the estimation of maximum impact force from a rockfall based on contact theory

最小化 最大化

Vol15 No.2: 430-443

Title】A theoretical model for the estimation of maximum impact force from a rockfall based on contact theory

Author】ZHANG Shi-lin1; YANG Xing-guo2; ZHOU Jia-wen1*

Addresses】1 State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610065, China; 2 College of Water Resource and Hydropower, Sichuan University, Chengdu 610065, China

Corresponding author】jwzhou@scu.edu.cn

Citation】Zhang SL Yang XG, Zhou JW (2018) A theoretical model for the estimation of maximum impact force from a rockfall based on contact theory. Journal of Mountain Science 15(2). https://doi.org/10.1007/s11629-017-4606-6

DOI】https://doi.org/10.1007/s11629-017-4606-6

Abstract】Rockfall poses a great threat to buildings and personal security. To understand the dynamic characteristics of rockfalls is a prerequisite for disaster prevention and assessment. Models for rockfalls in different forms are established based on the theory of rigid body motion. The equivalent velocity considering the rotational effect is determined by the energy ratio. Besides, considering plastic deformation and nonlinear hardening, the maximum impact force is estimated based on the Hertz contact theory. Then, a case study is carried out to illustrate the applicability of the model and sensitive analyses on some affecting parameters are also made. Calculation results show that the maximum impact force increases with the increasing of incident velocity, angle and slope gradient reflected by the changing of energy ratio. Moreover, the model for the estimation of maximum impact force is validated by two different scales of experiments and compared with other theoretical models. Simulated maximum impact forces agree well with the experiments.

Keywords】Rockfall; Motion characteristics; Contact theory; Maximum impact force