Rollingfrictioninthedynamicsimulationofsandpileforma资源-CSDN文库

版权申诉

源码软件

25 浏览量 2022-05-31 22:35:56 上传评论收藏 1.05MB PDF 举报

资源推荐

资源详情

资源评论

Physica A 269 (1999) 536–553

www.elsevier.com/locate/physa

Rolling friction in the dynamic simulation of

sandpile formation

Y.C. Zhou, B.D. Wright, R.Y. Yang, B.H. Xu, A.B. Yu

∗

School of Materials Science and Engineering, The University of New South Wales, Sydney,

NSW 2052, Australia

Received 25 February 1999

Abstract

The contact between spheres results in a rolling resistance due to elastic hysteresis losses or

viscous dissipation. This resistance is shown to be important in the three-dimensional dynamic

simulation of the formation of a heap of spheres. The implementation of a rolling friction model

can avoid arbitrary treatments or unnecessary assumptions, and its validity is conrmed by the

good agreement between the simulated and experimental results under comparable conditions.

Numerical results suggest that the angle of repose increases signicantly with the rolling friction

coecient and decreases with particle size.

PACS: 45.70.Cc; 45.50.-j; 45.70.Mg; 45.70.-n

Keywords: Static sandpiles; Granular compaction; Dynamics and kinematics of a particle and a

system of particles; Granular ow; Mixing; Segregation and stratication; Granular systems

1. Introduction

The formation of a heap of particles is important in all industries dealing with

particulate materials ranging from agricultural products such as our and grains to

minerals such as coal and metal ores. It is related to almost all typical phenomena

associated with granular materials, and many aspects of heaping, including particle

segregation [1], packing [2], and stress distribution [3,4], have been studied in the past.

In recent years, many eorts have been made to understand the governing mechanisms

involved, which are linked to important phenomena such as self-organisation [5,6] and

stratication [7,8] that have stimulated the interest in particulate science and technology

signicantly [9 –11].

∗

Corresponding author. Fax: +61-2-9385-5956.

E-mail address: a.yu@unsw.edu.au (A.B. Yu)

0378-4371/99/$ - see front matter

PII: S 0378-4371(99)00183-1

Y.C. Zhou et al. / Physica A 269 (1999) 536–553 537

The bulk behaviour of a particle system depends on the collective interactions of

individual particles. Therefore, it is very useful to study the heaping process on the

particle scale. In the past, various computer simulation techniques have been developed

for this purpose, including Monte Carlo [12–15], cellular automation [16], and granular

dynamic simulations [17,18]. The latter is probably most realistic, because it explic-

itly takes into account not only the geometrical factors but also the forces involved.

In recent years, it has been used by various investigators to study the formation of

two-dimensional sandpiles [19–22]. However, to form a stable heap of particles with

a nite angle of repose, special treatments or assumptions have to be employed in a

simulation. For example, Lee and Herrmann [19] and Luding [20] ignored the rotation

of particles or tangential forces, Elperin and Golshtein [21] set the velocities of all

particles to zero after every 5000 –15 000 iterations and Baxter et al. [22] started their

simulation with a static substrate consisting of a row of equally spaced particles. The-

oretically, such treatments are arbitrary and may distort reality, leading to inaccurate

information.

The purpose of this paper is to propose a simulation method that can simulate the

formation of a stable heap of spheres under three-dimensional conditions. The method

is essentially that originally proposed by Cundall and Strack [17], but modied by

introducing a rolling friction torque based on the experimental and theoretical analysis

of Beer and Johnson [23] or Brilliantov and Poschel [24]. The eect of the rolling

friction coecient on the formation of a sandpile is studied in detail. The validity of

the proposed modication is conrmed by the good agreement between the simulated

and measured results under comparable conditions.

2. Simulation method

A particle can undergo translational and rotational motion, depending on the forces

and torques acting on it, which may come from its interactions with neighbouring par-

ticles, with conning walls or substrates and with surrounding uids. Strictly speaking,

this movement is aected not only by the forces and torques originated from its neigh-

bouring particles and vicinal uid but also the particles and uids far away through

the propagation of disturbance waves. The complexity of such a process has deed any

attempts to model this problem analytically. Even for the numerical approach, proper

assumptions have to be made in order that this problem can be solved eectively

without an excess requirement for computer memory or expensive iterative procedure.

It has been established that if a time step is chosen to be less than a critical value,

these forces and torques can be determined from the interactions between the particle

and its immediate neighbours as well as vicinal uid [17,25]. The interaction between

particle and uid and the long-range forces, such as van der Waals and electrostatic

forces, can be ignored in the present work which deals with large particles in a static,

low-viscosity uid (air). Therefore, the governing equation for the translational motion

剩余17页未读，继续阅读

评论收藏

内容反馈

版权申诉

少年小鱼

粉丝: 28
资源: 532

Rolling friction in the dynamic simulation of sandpile forma

EDEM - Calibration- Rolling Friction.pdf

On the Model-Free Compensation of Coulomb Friction in the Absence of the Velocity Measurement

Turbulent Flow Caused By the Wall Friction in Circular Pipes

A Unified Framework for Rigid Body Dynamics

Simulation on the temperature field of bobbin tool friction stir welding of 2014 Al

Embedded Software Control Design for an Electronic Throttle Body

二级减速器课程设计说明书reducer design specification.doc

Model_predictive_control_for_vehicle_stabilization_at_the_limits_of_handli

Stokes, On the Eﬀect of the Int. Friction of Fluids on the Motion of Pendulums

Analytical Friction Model of the Capsule Robot in the Small Intestine

Behaviors of fatigue crack propagation in friction stir welded AA7075-T6

PhD thesis

Abaqus implementation of extended finite element method

Experimental Study on Friction in Ferrules during Compression Tuning of Fiber Bragg Grating

NovodeX Physics SDK Documentation

friction and the inverted pendulum stablization problem

High Performance in-memory computing with Apache Ignite-Leanpub(2017).pdf

Contact, closure and friction behaviour of rough crack concrete surfaces.pdf

相关实用应用程序（Windows可用）

免费可用的ChatGPT网页版.zip

ChatGPT使用总结：150个ChatGPT提示词模板（完整版）

chromedriver-win64.zip

李飞飞自传 我看见的世界 The World I see

全国计算机二级WPSoffice精选350道选择题题库（含答案）.pdf

哈尔滨工业大学-ChatGPT调研报告-2023.3.6-94页.pdf

4个亲测好用的ChatGPT4渠道

农村公交与异构无人机协同配送优化

学术海报模板+论文科研+研究生

最新资源

李飞飞自传我看见的世界 The World I see