Erratum to the paper entitled “Analysis of the dynamics of thin isotropic cylindrical shell in asymptotic approach” [Appl. Math. Model. 40 (2016) 5324-5334] (http://dx.doi.org/10.1016/j.apm.2015.09.103)

Formulation is derived for buckling of the circular cylindrical shell with multiple orthotropic layers and eccentric stiffeners acting under axial compression, lateral pressure, and/or combinations thereof, based on Sanders-Koiter theory. Buckling loads of circular cylindrical laminated composite shells are obtained using Sanders-Koiter, Love, and Donnell shell theories. These theories are compared for the variations in the stiffened cylindrical shells. To further demonstrate the shell theories for buckling load, the following particular case has been discussed: Cross-Ply with N odd (symmetric) laminated orthotropic layers. For certain cases the analytical buckling loads formula is derived for the stiffened isotropic cylindrical shell, when the ratio of the principal lamina stiffness is F = E2/E1 = 1. Due to the variations in geometrical and physical parameters in theory, meaningful general results are complicated to present. Accordingly, specific numerical examples are given to illustrate application of the proposed theory and derived analytical formulas for the buckling loads. The results derived herein are then compared to similar published work.

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Stability of a transversely isotropic cylindrical shell in axial compression

Polymer Mechanics ◽

10.1007/bf00864677 ◽

1972 ◽

Vol 5 (6) ◽

pp. 949-952

Author(s):

I. Yu. Babich ◽

A. N. Guz'

Keyword(s):

Cylindrical Shell ◽

Axial Compression ◽

Transversely Isotropic ◽

Isotropic Cylindrical Shell

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Permanence and extinction of a single species model in polluted environment

International Journal of Biomathematics ◽

10.1142/s179352452050031x ◽

2020 ◽

Vol 13 (04) ◽

pp. 2050031

Author(s):

Jiandong Zhao ◽

Tonghua Zhang

Keyword(s):

Sufficient Conditions ◽

Single Species ◽

Logistic Equation ◽

Polluted Environment ◽

Math Model ◽

Generalized Logistic Equation ◽

Appl Math ◽

Single Species Model

Under the assumption that the growth of the population satisfies the generalized logistic equation, a new single species model in polluted environment is proposed in this work. Sufficient conditions for permanence and extinction of the species in the model are given respectively. It is shown that our model and the results are improvements of those in He and Wang [Appl. Math. Model. 31 (2007) 2227–2238].

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VIBRO-ACOUSTIC RESPONSE OF A CIRCULAR ISOTROPIC CYLINDRICAL SHELL UNDER A THERMAL ENVIRONMENT

International Journal of Applied Mechanics ◽

10.1142/s1758825111001111 ◽

2011 ◽

Vol 03 (03) ◽

pp. 525-541 ◽

Cited By ~ 14

Author(s):

P. JEYARAJ ◽

C. PADMANABHAN ◽

N. GANESAN

Keyword(s):

Cylindrical Shell ◽

Thermal Environment ◽

Power Level ◽

Mode Shapes ◽

Sound Power ◽

Sudden Increase ◽

Acoustic Response ◽

Response Characteristics ◽

Sound Power Level ◽

Isotropic Cylindrical Shell

This paper presents numerical simulation studies on the vibration and acoustic response-characteristics of an isotropic cylindrical shell under a thermal environment using commercial softwares ANSYS and SYSNOISE. First, the critical buckling temperature is obtained, followed by modal and harmonic response analyses considering pre-stress due to the thermal field in the cylindrical shell, with the critical buckling temperature as a parameter. The vibration response predicted is then used to compute the sound radiation. It is found that there is a significant change in the vibration mode shapes and ring frequency towards the lowest natural frequency with an increase in temperature. There is a sudden increase in overall sound power level near the critical buckling temperature and significant changes in mode shapes with temperature does not affect the overall sound power level.

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