Assessment of Structural Behavior, Vulnerability, and Risk of Industrial Silos: State-of-the-Art and Recent Research Trends
Source abstract
Abstract
This paper presents a literature compendium about the main studies on the structural behavior, vulnerability, and risk of industrial silos, as one of the most important players of different industrial processes. This study focuses on the main scientific works developed in the last decades, highlighting the more notable issues on circular steel silos as the most widespread typology in practice, such as the content–container complicated interaction, the structural and seismic response, and the several uncertainties in the design and assessment processes. Specifically, this paper proposes a near-full state-of-the-art on (i) the behavior of silos under different kinds of loads, ordinary and extreme, (ii) the effects of imperfections and the interacting structures (e.g., ring beams, supporting structures), (iii) the stored material properties, the relevant uncertainties and the impact on the silo behavior, (iv) the possible failure modes given by the focused structural configuration and the stored materials, and (v) assessment and risk mitigation strategies. Throughout the text, some considerations are provided in order to summarize the more recent research trends about steel silos and to highlight the still open issues on the risk and vulnerability reduction of these kinds of structures.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Structural Response to Dynamic Loads · Probabilistic and Robust Engineering Design · Seismic Performance and Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Civil, Environmental, Land, Building Engineering and Chemistry (DICATECh), Polytechnic University of Bari, Via E. Orabona 4, 70126 Bari, Italy
References (100+)
Show source-provided references
1. Rotter, J.M. (2001). Guide for the Economic Design of Circular Metal Silos, CRC Press.10.4324/9780203477816 ↗
2. Metal silos10.1002/pse.2260010412 ↗
3. Steel silos with different aspect ratios: II — behaviour under eccentric discharge10.1016/j.jcsr.2011.03.027 ↗
4. Wall loads in squat steel silos during earthquakes10.1016/0141-0296(89)90002-3 ↗
5. Dynamics of Solid-Containing Tanks. II: Flexible Tanks10.1061/(ASCE)0733-9445(1998)124:1(62) ↗
6. Kolb, G.J., Lee, G., Mijatovic, P., and Valmianski, E. (2011, January 20–23). Thermal ratcheting analysis of advanced thermocline energy storage tanks. Proceedings of the presentation at the SolarPACES 2011, Granada, Spain.
7. Imperfection sensitivity of locally supported cylindrical silos subjected to uniform axial compression10.1016/j.ijsolstr.2016.06.019 ↗
8. Influencing factors on effective width of compressed zone in joint column-cylindrical shell of steel silo10.20528/cjsmec.2018.01.001 ↗
9. Ring Beam Stiffness Criterion for Column-Supported Metal Silos10.1061/(ASCE)EM.1943-7889.0000291 ↗
10. Application of ring beam stiffness criterion for discretely supported shells under global shear and bending10.1177/1369433218758476 ↗
11. Technique for Precise Measurement of Large-Scale Silos and Tanks10.1061/(ASCE)0733-9453(1996)122:1(14) ↗
12. Coleman, R., Ding, X., and Rotter, J.M. (1992). Measurement of imperfections in full-scale steel silos. National Conference Publication-Institution of Engineers, Australia 2, Institution of Engineers.
13. Imperfection sensitivity in cylindrical shells under uniform bending10.1177/1369433218804928 ↗
14. 04.16: Rethinking imperfections in tanks and silos10.1002/cepa.136 ↗
15. Experiments on the buckling of thin-walled model silo structures10.1016/0143-974X(89)90032-1 ↗
16. Buckling of very slender metal silos under eccentric discharge10.1016/j.engstruct.2010.12.040 ↗
17. Ning, X., and Pellegrino, S. (2013, January 8–11). Imperfection-insensitive axially loaded cylindrical shells. Proceedings of the 54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Boston, MA, USA.
18. 04.13: Influence of closely spaced ring-stiffeners on the axial buckling behavior of cylindrical shells10.1002/cepa.133 ↗
19. Fibre reinforced polymer for strengthening cylindrical metal shells against elephant’s foot buckling: An elasto-plastic analysis10.1177/1369433218817139 ↗
20. Dynamics of Solid-Containing Tanks. I: Rigid Tanks10.1061/(ASCE)0733-9445(1998)124:1(52) ↗
21. On the evaluation of the horizontal forces produced by grain-like material inside silos during earthquakes10.1007/s10518-012-9370-y ↗
22. Silos structural response to blast loading10.1016/j.engstruct.2021.112671 ↗
23. Effects of grain properties on loads in model silo
24. DEM simulation of the pressure distribution and flow pattern in a model grain silo with an annular segment attached to the wall10.1016/j.biosystemseng.2020.02.013 ↗
25. Numerical study on the behavior of funnel flow silos with and without inserts through a continuum hydrodynamic approach10.1016/j.cherd.2013.07.030 ↗
26. Determination of material and interaction properties of maize and wheat kernels for DEM simulation10.1016/j.biosystemseng.2020.05.007 ↗
27. Silo Design Codes: Their Limits and Inconsistencies10.1016/j.proeng.2015.01.157 ↗
28. Some Causes of Reinforced Concrete Silos Failure10.1016/j.proeng.2017.02.081 ↗
29. Steel silo failure and reinforcement proposal10.1016/j.engfailanal.2016.02.009 ↗
30. Singer, J., Arbocz, J., and Weller, T. (2002). Experimental methods in buckling of thin-walled structures. Buckling Experiments, Johm Wiley & Sons. [2nd ed.].10.1002/9780470172995 ↗
31. Surface Profiling System for Measurement of Engineering Structures10.1061/(ASCE)0733-9453(1996)122:1(3) ↗
32. Geometric imperfections and lower-bound methods used to calculate knock-down factors for axially compressed composite cylindrical shells10.1016/j.tws.2013.08.011 ↗
33. Versuche uber getreidedruck in silozellen
34. Analysis of Dynamic Discharge Pressures in Cylindrical Slender Silos with a Flat Bottom or with a Hopper: Comparison with Eurocode 110.1016/j.biosystemseng.2005.03.012 ↗
35. Reducing the seismic vulnerability of existing elevated silos by means of base isolation devices10.1016/j.engstruct.2017.04.032 ↗
36. (2021, December 20). WorkCover, (New south wales) Safety Aspects in the Design of Bulk Solids Containers Including Silos, Field Bins and Chaser Bins, Code of Practice-2005, Available online: www.workcover.nsw.gov.au.
37. A design approach for the ring girder in elevated steel silos10.1016/j.tws.2020.107002 ↗
38. Column-supported silos: Elasto-plastic failure10.1016/j.tws.2013.08.005 ↗
39. Structural behaviour of silos supported on discrete, eccentric brackets10.1016/S0143-974X(02)00078-0 ↗
40. Elastic failure of locally supported silos with U-shaped longitudinal stiffeners10.1007/s12205-015-0001-4 ↗
41. Behavior of Cylindrical Steel Shells Supported on Local Brackets10.1061/(ASCE)0733-9445(2008)134:8(1269) ↗
42. T-ring stiffened cone cylinder intersection under internal pressure10.1016/j.tws.2012.01.015 ↗
43. Analysis of silo supporting ring beams resting on discrete supports10.1016/j.tws.2018.11.001 ↗
44. Vlasov, V.Z. (1961). Thin-Walled Elastic Beams, National Science Foundation, National Science Foundation.
45. Elastic Stability of Cylindrical Shells with Weld Depressions10.1061/(ASCE)0733-9445(1989)115:5(1244) ↗
46. Development of Proposed European Design Rules for Buckling of Axially Compressed Cylinders10.1177/136943329800100404 ↗
47. Analysis of geometric imperfections in full-scale welded steel silos10.1016/j.engstruct.2005.01.013 ↗
48. Buckling of cylindrical shells under axial compression with loading imperfections: An experimental and numerical campaign on low knockdown factors10.1016/j.tws.2020.106764 ↗
49. Imperfection-insensitive axially loaded thin cylindrical shells10.1016/j.ijsolstr.2014.12.030 ↗
50. Rotter, J.M. (2006). Cylindrical shells under axial compression. Buckling of Thin Metal Shells, CRC Press.
51. On the general theory of elastic stability
52. Buckling and Postbuckling of Imperfect Cylindrical Shells: A Review10.1115/1.3149506 ↗
53. The Buckling of Thin Cylindrical Shells Under Axial Compression10.2514/8.10722 ↗
54. Numerical analysis and experimental correlation of composite shell buckling and post-buckling10.1016/S1359-8368(00)00031-7 ↗
55. Stability of circular cylindrical steel shells under combined loading10.1016/S0263-8231(02)00006-X ↗
56. Numerical models for nonlinear analysis of elastic shells with eigenmode-affine imperfections10.1016/S0020-7683(00)00222-5 ↗
57. The use of initial imperfection approach in design process and buckling failure evaluation of axially compressed composite cylindrical shells10.1016/j.engfailanal.2015.02.017 ↗
58. First-order second-moment analysis of the buckling of shells with random imperfections10.2514/3.9751 ↗
59. Robust design criterion for axially loaded cylindrical shells - Simulation and Validation10.1016/j.tws.2016.12.017 ↗
60. Probabilistic design of axially compressed composite cylinders with geometric and loading imperfections10.1142/S0219455410003658 ↗
61. Robust design of composite cylindrical shells under axial compression—Simulation and validation10.1016/j.tws.2008.01.043 ↗
62. Design of axially loaded isotropic cylindrical shells using multiple perturbation load approach – Simulation and validation10.1016/j.tws.2018.09.028 ↗
63. Buckling of axially compressed CFRP cylinders with and without additional lateral load: Experimental and numerical investigation10.1016/j.tws.2017.06.002 ↗
64. Peterson, P., Seide, P., and Weingarten, V. (1968). Buckling of Thin-walled Circular Cylinders, NASA Langley Research Center. Technical Report No. SP-8007.
65. Numerical characterization of imperfection sensitive composite structures10.1016/j.compstruct.2013.09.041 ↗
66. Pircher, M., and Bridge, R. (1998). Effects of weld-induced circumferential imperfections on the buckling of cylindrical thin-walled shells. WIT Trans. Eng. Sci., 19.
67. Study of Buckling in Steel Silos under Eccentric Discharge Flows of Stored Solids10.1061/(ASCE)EM.1943-7889.0000112 ↗
68. Teng, J.G., and Rotter, J.M. (2004). Buckling of Thin Metal Shells, CRC Press.10.4324/9780203301609 ↗
69. Buckling of Thin Shells: Recent Advances and Trends10.1115/1.3101927 ↗
70. Cause of Damage and Failures in Silo Structures10.1061/(ASCE)0887-3828(2009)23:2(65) ↗
71. (2006). EN 1991-4, Eurocode 1-Actions on Structures-Part 4: Silos and Tanks, European Committee for Standardization.
72. (2007). EN 1993-1-6, Eurocode 3-Design of Steel Structures-Part 1–6: Strength and Stability of Shell Structures, European Committee for Standardization.
73. Buckling resistance of vertical stiffeners of steel silos for grain storage10.35784/bud-arch.2129 ↗
74. Die Stabilität der Kreiszylinderschale10.1007/BF02079822 ↗
75. Singer, J. (1972). Buckling of Integrally Stiffened Cylindrical Shells-a Review of Experiment and Theory, Delft University Press.
76. Efficient Optimization of Cylindrical Stiffened Shells with Reinforced Cutouts by Curvilinear Stiffeners10.2514/1.J054445 ↗
77. Numerical-based smeared stiffener method for global buckling analysis of grid-stiffened composite cylindrical shells10.1016/j.compstruct.2016.05.096 ↗
78. Buckling analysis of cold formed silo column
79. Seismic performance of elevated steel silos during Van earthquake, October 23, 201110.1007/s11069-014-1319-9 ↗
80. Buckling of ring-stiffened cylindrical shell under axial compression: Experiment and numerical simulation10.1016/j.tws.2021.107888 ↗
81. Simple Procedure for Seismic Analysis of Liquid-Storage Tanks10.2749/101686600780481509 ↗
82. Seismic vulnerability assessment of reinforced concrete silo considering granular material-structure interaction10.1002/tal.1295 ↗
83. 3D buckling assessment of cylindrical steel silos of uniform thickness under seismic action10.1016/j.tws.2018.07.040 ↗
84. Comprehensive Review on the Dynamic and Seismic Behavior of Flat-Bottom Cylindrical Silos Filled With Granular Material10.3389/fbuil.2021.805014 ↗
85. Shaking-table tests of flat-bottom circular silos containing grain-like material10.1002/eqe.2617 ↗
86. Granular Material Silos under Dynamic Excitation: Numerical Simulation and Experimental Validation10.1061/(ASCE)0733-9445(2006)132:10(1573) ↗
87. (2006). EN 1998-4, Eurocode 8-Design of Structures for Earthquake Resistance-Part 4-Silos, Tanks and Pipelines, European Committee for Standardization.
88. Seismic behavior of silos with different height to diameter ratios considering granular material-structure interaction10.5829/idosi.ije.2012.25.01b.04 ↗
89. Seismic Behavior of Reinforced Concrete Silos Considering Granular Material-Structure Interaction10.1016/j.proeng.2011.07.384 ↗
90. Refinements to the Silvestri’s theory for the evaluation of the seismic actions in flat-bottom silos containing grain-like material10.1007/s10518-015-9786-2 ↗
91. On the Fundamental Periods of Vibration of Flat-Bottom Ground-Supported Circular Silos containing Gran-like Material10.1016/j.proeng.2017.09.015 ↗
92. A simplified 3 D.O.F. model of A FEM model for seismic analysis of a silo containing elastic material accounting for soil–structure interaction10.1016/j.soildyn.2015.04.015 ↗
93. Butenweg, C., Rosin, J., and Holler, S. (2017). Analysis of Cylindrical Granular Material Silos under Seismic Excitation. Buildings, 7.10.3390/buildings7030061 ↗
94. Seismic response and failure modes of steel silos with isotropic stepped walls: The effect of vertical component of ground motion and comparison of buckling resistances under seismic actions with those under wind or discharge loads10.1016/j.engfailanal.2020.105100 ↗
95. Shaking table tests of a full-scale flat-bottom manufactured steel silo filled with wheat: Main results on the fixed-base configuration10.1002/eqe.3561 ↗
96. Shaking table tests on a small-scale steel cylindrical silo model in different filling conditions10.1016/j.istruc.2022.01.026 ↗
97. Simplified numerical modeling of elevated silos for nonlinear dynamic analysis
98. Maj, M., and Ubysz, A. (2020). Computational Models for Determining Silo Wall Displacements Caused by Dry Friction, Oficyna Wydawnicza Politechniki Wrocławskiej.
99. (1996). AS 3774-1996, Loads on Bulk Solids Containers, Standards Australia.
100. (2016). ACI 313-16:2016 Design Specification for Concrete Silos and Stacking Tubes for Storing Granular Materials and Commentary, American Concrete Institute.