Stability analysis of nanocones under external pressure and axial compression using a nonlocal shell model

2012 ◽  
Vol 44 (9) ◽  
pp. 1832-1837 ◽  
Author(s):  
R.D. Firouz-Abadi ◽  
M.M. Fotouhi ◽  
H. Haddadpour
Keyword(s):  
Stability Analysis ◽  
Shell Model ◽  
Axial Compression ◽  
External Pressure

Buckling of Circular Cylindrical Shells Using a Displacement Function

1974 ◽  
Vol 96 (4) ◽  
pp. 1322-1327
Author(s):  
Shun Cheng ◽  
C. K. Chang
Keyword(s):  
Boundary Conditions ◽  
Axial Compression ◽  
Cylindrical Shells ◽  
External Pressure ◽  
Displacement Function ◽  
Combined Loading ◽  
Trial Solution ◽  
Governing Differential Equation ◽  
Circular Cylindrical Shells ◽  
The Stability

The buckling problem of circular cylindrical shells under axial compression, external pressure, and torsion is investigated using a displacement function φ. A governing differential equation for the stability of thin cylindrical shells under combined loading of axial compression, external pressure, and torsion is derived. A method for the solutions of this equation is also presented. The advantage in using the present equation over the customary three differential equations for displacements is that only one trial solution is needed in solving the buckling problems as shown in the paper. Four possible combinations of boundary conditions for a simply supported edge are treated. The case of a cylinder under axial compression is carried out in detail. For two types of simple supported boundary conditions, SS1 and SS2, the minimum critical axial buckling stress is found to be 43.5 percent of the well-known classical value Eh/R3(1−ν2) against the 50 percent of the classical value presently known.

scholarly journals Tool stability analysis for deep hole drilling

2018 ◽  
Vol 224 ◽  
pp. 01035 ◽  
Author(s):  
Sergey Gorbatyuk ◽  
Valery Kondratenko ◽  
Larisa Sedykh
Keyword(s):  
Stability Analysis ◽  
Cutting Force ◽  
Axial Compression ◽  
Cutting Tools ◽  
Critical Value ◽  
Hole Drilling ◽  
Deep Hole ◽  
Compression Load ◽  
Rotary Cutting ◽  
Rotary Cutting Tools

A large number of parts have deep holes, therefore, rotary cutting tools, which represent relatively long and thin columns are used for holemaking. In this article we analyze the behavior of such tools under the influence of an axial compression load, in our case, the axial cutting force Fp , which differs fundamentally from the compression of short tools. Moreover, experience shows that when the cutting force Fp reaches a certain critical value equal to Fkp , a long straight column becomes unstable.

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