Computational Analysis of a Roller Crusher's Narrow Beam

Model Simplification for Computational Analysis

In the process of converting two-dimensional drawings into three-dimensional models, in order to facilitate subsequent computational analysis in ANSYS, we need to simplify the actual narrow beam model. The code of model simplification is to simplify the modelling of drawings without interfering with subsequent computational analysis and has facilitated the calculation optimisation results. The specific operation method is that the bolts, stud holes, irregular bases, etc. in the original drawing are not reflected in the subsequent three-dimensional model.

Components, including walking motors, walking wheels, etc., which have little impact on force analysis and calculation have been simplified. If the above components are not simplified modelling, the subsequent grid division will be irregular, poor quality, not conducive to the subsequent simulation optimizations. In addition to simplifying the model, the force state of the narrow beam needs to be simplified. In order to facilitate force analysis, the load is regarded as a symmetrical load of the angle of view, and the narrow beam is regarded as a uniform and symmetrical long, straight box bar.

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Mechanical Calculation

The mechanical calculation of the narrow beam of the Roller crusher mainly follows the load in the actual working condition, and the tool used is the knowledge of material mechanics. Through force analysis and the cutting of the force state of the narrow beam of the Taiwan vehicle and the drawing of the bending moment graph, we then bring the results into the simulation software for optimization analysis. In the force analysis of the narrow beam of the roller platform, it is necessary to simplify it to fixed hinge at one end and a simple support beam that can move the hinge at one end in order to facilitate the calculation.

There are four force surfaces on the surface of the narrow beam of the trolley, which is subjected to four downward concentration forces. It's two symmetrical. 𝐴1, 𝐵1, 𝐵2, 𝐴2, respectively, the force of the four faces are 𝐹1, 𝐹2, 𝐹3, 𝐹4. The center point is represented by G. Correspondingly, the narrow beam of the platform is subjected to two back forces, the left end is represented by Fa and the right end is represented by Fb.

Force Distribution on the Narrow Beam

According to the drawing, the force applied to the connecting beam on the narrow beam is a total of 21590N, and the force applied by the tooth roller to the narrow beam is a total of 306250 N. The narrow beam itself weight is 5960.59 kg, converted to gravity g - 84412.4 N, motor weight is 9359 N.

The calculation length of the narrow beam is 5.8 m, AB segment length is 0.225 m,

BC length is 0.225 m, the CD is 1.565 m,

DF length is 1.27 m, the FG length is 2.065 m,

GH length is 0.225 m, and the HI length is 0.225 m. Depending on the force, the calculation process is as follows:

Fa+Fb=F_1× 2+F_2× 2+G=412252N

∑M_C=0→(Fa×AB)+(Fb×AH)=(F_1×AC)+(F_2×AD)+(F_3×AF)+(F_4×AG)+(G×AE)=713789.9N

Solved:

Fa=29617N Fb=116081 N

Maximum bending moment Mmax s FL/2, F is the external force of the structure, L is the force arm of the beam. The bending moment function of each force segment is obtained by the shear attempt to integrate the integral, and the segment function is plotted.

Next, calculate the pressure on the upper surface of the narrow beam: there are four force surfaces on the upper surface of the narrow beam, a picture of A, B, C, D;

The calculation formula according to the rectangular area is calculated: The area of the force surfaces A and D:

Sa=Sb=(0.3496m)^2

The area of the force surfaces B and C:

Sc=Sd=(0.2231m)^2

According to the pressure calculation formula, it is concluded that the pressure on the force surfaces B and C is:

Pb=Pc=Fb/Sb=Fc/Sc=10795N/(0.3496m^2 )=0.0308MPa

The pressure on the force surfaces D and E is:

Pd=Pe=Fd/Sd=Fe/Se=153125N/(0.231m^2 )=0.662MPa

As the weight of the motor is 955Kg, so the force applied on the surfaces H and I is

Fg=955×9.8=9359(N)

Summary

This chapter provides a detailed computational analysis of a Roller crusher's narrow beam, including model simplification, mechanical calculations, and pressure analysis. The findings, crucial for ensuring the structural integrity and optimal performance of the roller crusher, are summarized below in Table 1 and Figure 1.

Table 1: Summary of Mechanical Calculations and Pressure Analysis

This comprehensive analysis sets the stage for applying the calculated load data to the finite element model of the platform's narrow beam, with subsequent simulation analysis to further refine the design and ensure the roller crusher's efficiency and durability.