Static and dynamic analysis of the flow of bulk materials through silos

Storing and handling of bulk materials are essential aspects of grain, chemical and mining operations. Problems that commonly occur in silo operation mainly include flow blockages and structural failure of silos, which reduce the silo capacity and cause high maintenance cost. In most cases the problems occur principally due to inadequate design analysis together with a lack of knowledge of dynamic behaviour of the bulk material containment structure system during the discharge of materials from silos. This thesis focusses on the simulation of the filling and the discharge process of bulk materials in silos. Emphasis has been placed on the development of the numerical methods for the prediction of bulk material pressures on silo walls and the internal stresses in silo shells under both static and dynamic conditions. The motion of bulk materials flowing through silos is modelled as the motion of a no-tension, viscous, elastic-plastic material. A s large deformation occurs during discharge of the material, geometry nonlinearity is considered in the analysis. A finite element method formulated in terms of velocity as the primary variable is developed for the simulation of the flow of bulk materials and the structural response of the silo shell. The behaviour of the flowing bulk material is coupled with the behaviour of the containment structure by the contact condition of the bulk material and the silo wall. A computer program has been developed for the analysis.

[1]  A. W. Jenike,et al.  A silo for ground anthracite , 1968 .

[2]  D. M. Walker,et al.  Pressures in experimental coal hoppers , 1967 .

[3]  Poul V. Lade,et al.  Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfaces , 1977 .

[4]  Nezih C. Geçkinli,et al.  Discrete Fourier transformation and its applications to power spectra estimation , 1983 .

[5]  M. G. Perry,et al.  Presures in flowing and static sand in model bunkers , 1971 .

[6]  Alexander M. Turitzin Dynamic Pressure of Granular Materials in Deep Bins , 1963 .

[7]  D. Pyle,et al.  Air-assisted flow from a bed of particles , 1970 .

[8]  Alfred G. Bishara,et al.  Static Pressures in Concrete Circular Silos Storing Granular Materials , 1983 .

[9]  Hojjat Adeli Parallel and Distributed Processing in Structural Engineering , 1988 .

[10]  Jin Y. Ooi,et al.  Wall pressures in squat steel silos from simple finite element analysis , 1990 .

[11]  J. M. Rotter,et al.  A Survey of Recent Buckling Research on Steel Silos , 1986 .

[12]  L. C. Schmidt,et al.  Pressures on Silo Walls , 1969 .

[13]  F. C. Franklin,et al.  Flow of granular material through a circular orifice , 1955 .

[14]  P. C. Arnold,et al.  An analytical solution for the stress function at the wall of a converging channel , 1976 .

[15]  W. Hankey,et al.  The flow of granular material , 1991 .

[16]  A. E. Elwi,et al.  Numerical Prediction of Hopper-Bin Pressures , 1988 .

[17]  D. E. O'Connor,et al.  Fourier transforms and their physical applications , 1974 .

[18]  J. Schwaighofer Circular storage tanks and silos , 1980 .

[19]  J. M. Rotter,et al.  Experiments on the Buckling of Thin-walled Model Silo Structures , 1986 .

[20]  B. V. K. Vijaya Kumar,et al.  Digital Signal Processing of Geotechnical Data , 1986 .

[21]  E. F. Masur On the definition of stress rate , 1961 .

[22]  Jerzy Kmita Silo as a System of Self‐Induced Vibration , 1985 .

[23]  S. Savage,et al.  The mass flow of granular materials derived from coupled velocity-stress fields , 1965 .

[24]  R. M. Nedderman,et al.  Stress distribution in hoppers , 1978 .

[25]  J. R. Johanson,et al.  Feeding Calcine Dust With a Belt Feeder at Falconbridge , 1973 .

[26]  New Boundary Element Formulation for 2‐D Elastoplastic Analysis , 1987 .

[27]  J. Johanson,et al.  Stress and Velocity Fields in the Gravity Flow of Bulk Solids , 1964 .

[28]  D. M. Walker An approximate theory for pressures and arching in hoppers , 1966 .

[29]  A. Harmens Flow of granular material through horizontal apertures , 1963 .

[30]  G. Enstad,et al.  ON THE THEORY OF ARCHING IN MASS FLOW HOPPERS , 1975 .

[31]  New Developments in Elastoplastic Analysis , 1981 .

[32]  J. S. Mason,et al.  Gravity flow of bulk solids , 1987 .

[33]  M. Roe,et al.  An institution of engineers , 1975 .

[34]  T. Andersson,et al.  The Boundary Element Method applied to Two-Dimensional Contact Problems with Friction , 1981 .

[35]  G. E. Blight Discussion: Pressures exerted by materials stored in silos: part I, coarse materials; part II fine powders , 1987 .

[36]  J. M. Rotter On the Significance of Switch Pressures at the Transition in Elevated Steel Bins , 1986 .

[37]  J. Akin Application and Implementation of Finite Element Methods , 1982 .

[38]  Guy T. Houlsby,et al.  The flow of granular materials—I: Discharge rates from hoppers , 1982 .

[39]  I. McDougall,et al.  A theoretical equation for the flow of granular solids from a hopper , 1965 .

[40]  A. Carleton The effect of fluid-drag forces on the discharge of free-flowing solids from hoppers , 1972 .

[41]  W. Shepherd Plastic Stress-Strain Relations: , 1948 .

[42]  J. van de Velde,et al.  The flow of granular solids through orifices , 1961 .

[43]  J. R. Johanson,et al.  On the Theory of Bin Loads , 1969 .

[44]  Alfred G. Bishara,et al.  Nonlinear Finite Element Analysis of Farm Silos , 1978 .

[45]  D. C. Drucker,et al.  Soil mechanics and plastic analysis or limit design , 1952 .

[46]  J. K. Walters,et al.  A theoretical analysis of stresses in axially-symmetric hoppers and bunkers , 1973 .

[47]  R. Nedderman,et al.  Air-impeded discharge of fine particles from a hopper , 1977 .

[48]  J. Williams,et al.  The rate of discharge of coarse granular materials from conical mass flow hoppers , 1977 .

[49]  J. M. Rotter,et al.  Buckling of Simple Ringbeams for Bins and Tanks , 1983 .

[50]  H. L. G. Pina Numerical Integration and other Computational Techniques , 1984 .

[51]  J. K. Walters,et al.  A theoretical analysis of stresses in silos with vertical walls , 1973 .

[52]  Lc Schmidt,et al.  Aspects of Eccentric Discharge of Granular Material from a Circular Silo , 1986 .

[53]  Johann Arbocz,et al.  On the Buckling of Axially Compressed Imperfect Cylindrical Shells , 1974 .

[54]  J. M. Rotter,et al.  Elastic predictions of pressures in conical silo hoppers , 1991 .