scholarly journals Numerical Analysis of Cylindrical Shell under Axial Impact

2021 ◽  
Vol 236 ◽  
pp. 05040
Author(s):  
WX Zhang
Keyword(s):  
Cylindrical Shell ◽  
Thin Shell ◽  
Shell Theory ◽  
Arch Dam ◽  
Material Strength ◽  
Bending Stress ◽  
Double Curvature ◽  
Flat Shell ◽  
Water Conservancy ◽  
Thin Shell Theory

The shell mainly resists the external load by the mid plane stress distributed uniformly along the thickness, rather than the bending stress varying along the thickness. Compared with the traditional flat plate, the shell can make full use of the material strength, so it has greater bearing capacity. In water conservancy projects, shells are widely used, such as double curvature flat shell gate, arch dam and so on. Thin shell theory is a classical theory in shell.

Free vibration of bi-material cylindrical shells

2016 ◽  
Vol 230 (15) ◽  
pp. 2637-2649 ◽  
Author(s):  
Saeed Sarkheil ◽  
Mahmud S Foumani ◽  
Hossein M Navazi
Keyword(s):  
Exact Solution ◽  
Cylindrical Shell ◽  
Free Vibration ◽  
Boundary Conditions ◽  
State Space ◽  
Thin Shell ◽  
Shell Theory ◽  
Circular Cylindrical Shell ◽  
Space Technique ◽  
Thin Shell Theory

Based on the Sanders thin shell theory, this paper presents an exact solution for the vibration of circular cylindrical shell made of two different materials. The shell is sub-divided into two segments and the state-space technique is employed to derive the homogenous differential equations. Then continuity conditions are applied where the material of the cylindrical shell changes. Shells with various combinations of end boundary conditions are analyzed by the proposed method. Finally, solving different examples, the effect of geometric parameters as well as BCs on the vibration of the bi-material shell is studied.

Dynamic Actuation and Quadratic Magnetoelastic Coupling of Thin Magnetostrictive Shells

2005 ◽  
Vol 128 (3) ◽  
pp. 385-391 ◽  
Author(s):  
H. S. Tzou ◽  
W. K. Chai ◽  
M. Hanson
Keyword(s):  
Mathematical Model ◽  
Thin Shell ◽  
Shell Theory ◽  
Thin Shells ◽  
Free Energy Function ◽  
Dynamic Coupling ◽  
Double Curvature ◽  
System Equations ◽  
Gibb’S Free Energy ◽  
Thin Shell Theory

Smart adaptive structures and structronic systems have been increasingly investigated and developed in the last two decades. Although smart structures made of piezoelectrics, shape-memory materials, electrostrictive materials, and electro-/magnetorheological fluids have been evaluated extensively, studies of magnetostrictive continua, especially generic mathematical model(s), are still relatively scarce. This study is to develop a generic mathematical model for adaptive and controllable magnetostrictive thin shells. Starting with fundamental constitutive magnetostrictive relations, both elastic and magnetostrictive stresses, forces, and moments of a generic double-curvature magnetostrictive shell continuum subject to small and moderate magnetic fields are defined. Dynamic magnetomechanical system equations and permissible boundary conditions are defined using Hamilton's principle, elasticity theory, Kirchhoff-Love thin shell theory and the Gibb's free energy function. Magnetomechanical behavior and dynamic characteristics of magnetostrictive shells are evaluated. Simplifications of magnetostrictive shell theory to other common geometries are demonstrated and magnetostrictive/dynamic coupling and actuation characteristics are discussed.

Kinetic Analysis of a Cylindrical Shell Partially Treated with Constrained Layer Damping

2010 ◽  
Vol 34-35 ◽  
pp. 1299-1304 ◽  
Author(s):  
Xiang Zhang ◽  
Jing Jun Lou ◽  
Shao Chun Ding
Keyword(s):  
Mathematical Model ◽  
Cylindrical Shell ◽  
Thin Shell ◽  
Function Method ◽  
Shell Theory ◽  
Equation Of Motion ◽  
Constrained Layer Damping ◽  
Transfer Function Method ◽  
Passive Constrained Layer Damping ◽  
Thin Shell Theory

This paper presents a transfer function method for a cylindrical shell with a partially passive constrained layer damping (PCLD) treatment. A thin shell theory based on Donnell-Mushtari-Vlasov assumption is employed to yield a mathematical model. The equation of motion and boundary conditions of a cylindrical shell with partially PCLD are derived. The paper provides theory supports for PCLD structure’s engineering applications in submarine weapon field.

Constitutive Modeling of Controllable Electrostrictive Structronic Thin Shells

2002 ◽  
Author(s):  
H. S. Tzou ◽  
W. K. Chai
Keyword(s):  
Smart Materials ◽  
Thin Shell ◽  
Shell Theory ◽  
Piezoelectric Materials ◽  
Thin Shells ◽  
Free Energy Function ◽  
Double Curvature ◽  
Coupling Equations ◽  
System Equations ◽  
Thin Shell Theory

Electrostrictive material is one of the key smart materials, with tremendous potentials in many engineering applications, e.g., sonar, actuators, artificial muscles, etc. The (direct) electrostrictive effect of electrostrictive materials is a quadratic dependence of stress or strain on applied electric field and this nonlinear electromechanical effect contributes significant actuation performance as compared with that of conventional piezoelectric materials. A generic electrostrictive thin shell theory and its dynamic electro-mechanical system equations are derived based on a generic double-curvature thin shell defined in the paraelectric phase. Generic mathematical models and permissible boundary conditions of electrostrictive thin shells are defined based on Hamilton’s principle, elasticity theory, Kirchhoff-Love thin shell theory and Gibbs elastic free energy function. Electro-mechanical behaviors and dynamic characteristics of electrostrictive shells are evaluated. Simplifications of the generic electrostrictive shell theory to other common geometries are demonstrated, electrostrictive/dynamic coupling equations derived, and their electromechanical characteristics discussed.

Analysis of Acoustic Radiation of Submerged Damped Cylindrical Shell Combined with Thin Shell Theory and Elasticity Theory

2013 ◽  
Vol 313-314 ◽  
pp. 1293-1298
Author(s):  
Jun Jie Zhang ◽  
Xian Ming Zhu ◽  
Zhi Zhong Liu
Keyword(s):  
Cylindrical Shell ◽  
Elasticity Theory ◽  
Thin Shell ◽  
Shell Theory ◽  
Integral Transform ◽  
Acoustic Radiation ◽  
Coupled Equations ◽  
Damping Material ◽  
Classical Integral ◽  
Thin Shell Theory

The acoustic radiation of submerged damped cylindrical shell is investigated by combining with thin shell theory and elasticity theory. The classical integral transform technique is used to derive the solutions of coupled equations. Numerical computations show the correctness of the proposed method, and also conclude the influence of thickness of inner shell and coated layer to acoustic radiation. The conclusions may be valuable to the application of damping material on noise and vibration control of underwater pipes.

EXAMINATION OF CYLINDRICAL SHELL THEORIES FOR BUCKLING OF CARBON NANOTUBES

2011 ◽  
Vol 11 (06) ◽  
pp. 1035-1058 ◽  
Author(s):  
C. M. WANG ◽  
Z. Y. TAY ◽  
A. N. R. CHOWDHUARY ◽  
W. H. DUAN ◽  
Y. Y. ZHANG ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Cylindrical Shell ◽  
Shear Deformation ◽  
Thin Shell ◽  
Md Simulation ◽  
Shell Theory ◽  
Buckling Analysis ◽  
Aspect Ratios ◽  
Axially Loaded ◽  
Thin Shell Theory

This paper examines the validity and accuracy of cylindrical shell theories in predicting the critical buckling strains of axially loaded single-walled carbon nanotubes (CNTs). The shell theories considered are the Donnell thin shell theory (DST), the Sanders thin shell theory (SST), and the first-order shear deformation (thick) shell theory (FSDST). Molecular dynamic (MD) simulation solutions for armchair and zig-zag CNTs with clamped ends were used as reference results to assess the shell models. The MD simulations were carried out at room temperature to eliminate the thermal effect on the buckling behavior. By adopting Young's modulus of 5.5 TPa, Poisson's ratio of 0.19, and tube thickness of 0.066 nm, it was found that DST is not able to capture the length dependency of the critical buckling strains and thus it should not be used for buckling analysis of CNTs. On the other hand, SST and FSDST are able to predict the critical buckling strains of armchair and zig-zag CNTs reasonably well for all aspect ratios, especially the results produced by the FSDST are found to be closer to the MD simulation results, because it allows for the effect of transverse shear deformation that becomes significant for CNTs with small aspect ratios. Thus, FSDST is recommended as a very suitable and convenient continuum mechanics model for buckling analysis of CNTs. The superior FSDST model is used to generate critical buckling strains of axially loaded single-walled CNT with different boundary conditions. These results should be useful for designers of nanodevices that make use of CNTs as axially loaded members. It is worth noting that for long and moderately long CNTs, the Timoshenko beam model may be used instead due to its simplicity.

Turbulence-Induced Vibration Analysis of an Open Curved Thin Shell

2010 ◽  
Author(s):  
Mitra Esmailzadeh ◽  
Aouni A. Lakis
Keyword(s):  
Boundary Layer ◽  
Turbulent Boundary Layer ◽  
Root Mean Square ◽  
Thin Shell ◽  
Shell Theory ◽  
Pressure Field ◽  
Mean Square Displacement ◽  
Mean Square ◽  
Cross Spectral Density ◽  
Thin Shell Theory

A method is presented to predict the root mean square displacement response of an open curved thin shell structure subjected to a turbulent boundary-layer-induced random pressure field. The basic formulation of the dynamic problem is an efficient approach combining classic thin shell theory and the finite element method. The displacement functions are derived from Sanders’ thin shell theory. A numerical approach is proposed to obtain the total root mean square displacements of the structure in terms of the cross-spectral density of random pressure fields. The cross-spectral density of pressure fluctuations in the turbulent pressure field is described using the Corcos formulation. Exact integrations over surface and frequency lead to an expression for the total root mean square displacement response in terms of the characteristics of the structure and flow. An in-house program based on the presented method was developed. The total root mean square displacements of a curved thin blade subjected to turbulent boundary layers were calculated and illustrated as a function of free stream velocity and damping ratio. A numerical implementation for the vibration of a cylinder excited by fully developed turbulent boundary layer flow was presented. The results compared favorably with those obtained using software developed by Lakis et al.

Sign in / Sign up

Export Citation Format

Share Document