2022
DOI: 10.1080/15376494.2022.2037172
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Dynamic stability of hybrid fiber/nanocomposite-reinforced toroidal shells subjected to the periodic axial and pressure loadings

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Cited by 16 publications
(4 citation statements)
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“…In the state p = 0 the resultant natural frequencies are related to free vibration of the shell panels without the effects of initial compressive stress. This effect is the main concept of dynamic stability of structures which has been focused in Keshtegar et al, 5 Al-Furjan et al, 28 Mirfatah et al, 38 and Shahmohammadi et al 62 At the following of this section, various boundary conditions and the corresponding approximating functions are presented in equation ( 17). [43][44][45] (1) Simply-supported edges at j 1 = 0, a and j 2 = 0, b (SSSS):…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…In the state p = 0 the resultant natural frequencies are related to free vibration of the shell panels without the effects of initial compressive stress. This effect is the main concept of dynamic stability of structures which has been focused in Keshtegar et al, 5 Al-Furjan et al, 28 Mirfatah et al, 38 and Shahmohammadi et al 62 At the following of this section, various boundary conditions and the corresponding approximating functions are presented in equation ( 17). [43][44][45] (1) Simply-supported edges at j 1 = 0, a and j 2 = 0, b (SSSS):…”
Section: Methodsmentioning
confidence: 99%
“…In the state p = 0 the resultant natural frequencies are related to free vibration of the shell panels without the effects of initial compressive stress. This effect is the main concept of dynamic stability of structures which has been focused in Keshtegar et al, 5 Al-Furjan et al, 28 Mirfatah et al, 38 and Shahmohammadi et al 62…”
Section: Methodsmentioning
confidence: 99%
“…The complete failure criterion in the zero-normal-stiffness can be expressed as follows: (10) where Gi and Gic (i=s, t) are the s-or t-components of work done by the traction with their conjugate separations and the critical fracture energies required to cause failure, respectively. The evolution of the damage variable for linear softening can be calculated as follows: (11) where δm max stands for the maximum value of the effective separation, which is obtained during the loading history.…”
Section: Contact Surfacementioning
confidence: 99%
“…Therefore, it's essential for dam owners and operators to take the necessary precautions to prevent dam failures and to regularly assess the stability of the structures [6]. A wide variety of approaches can be used to gain a comprehensive understanding of a dam's performance and safety, such as finite element method [7][8][9][10][11], and extended finite element method [12,13]. Concrete arch dams are a type of dam that transfers the forces they encounter to their abutments.…”
Section: Introductionmentioning
confidence: 99%