Abstract

The article presents an analysis of geometrically nonlinear contact tasks for the system of plates. The peculiarities of the presented tasks consist in research of a pressure-deformed state of two plates connected with a bolt fixture with a clearance and loaded with a uniformly distributed transverse force along the upper edge. Both geometrical and structural non-linearities are presented in the study tasks. The geometrically nonlinear formulation determines the SSS for plates connected with a bolt fixture with a clearance. Maximum deformation of such plates is 0.028 m and the equivalent (von-Mises) stress is 1200 MPa. The bolt skewing and the plate deformation increase tensile forces in the bolt, thereby increasing the force of the bolt fixture tightening (1500 N to 4000 N). The proposed methodology can be used for solving similar tasks as it considers a wide range of operating loads. In case when the researched object is a solid plate, geometrically linear and non-linear formulations do not guarantee reliable results.

Highlights

  • Silos that are widely used in modern agriculture have several advantages, such as easy assembling, reliability, low cost, and easy management

  • Since there is a huge stress exerted upon silos, the stress-strain state (SSS) under the internal pressure of the grain bulk must be taken into account and thoroughly calculated

  • – to analyze and assess the sliding effect for the contacting surfaces of the plates when the system loading varies. These tasks can be solved on the basis of the model system of overlapped plates connected with a bolt fixture that has a clearance (Fig. 1)

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Summary

Introduction

Silos that are widely used in modern agriculture have several advantages, such as easy assembling, reliability, low cost, and easy management. In case of the gap adjustment, there are forces of contact interaction between the cylindrical part of a bolt and inner surfaces of the holes made in the mating panels. This formulation considers geometrical, structural and physical nonlinearities. The existing problematic issues in the standard methods required setting up goals to improve the existing methods and models for studying the design of such structures. This determined the direction and relevance of the research, as described in the proposed article

Analysis of the published data and formulation of the problem
The purpose and objectives of the study
The construction of a mathematical model of bolted connection
A discrete formulation of the problem
The results of the calculations
Conclusions
Design of steel structures

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