Exact solutions for vibration of cylindrical shells with intermediate ring supports

Xiang, Yang; Ma, Yue; Kitipornchai, S.; Lim, C.W.; Lau, C. W. H.

doi:10.1016/s0020-7403(02)00071-1

Cited by 62 publications

(31 citation statements)

References 18 publications

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“…In Table 3 the relative differences in the percentage between the solutions are presented, which do not exceed 0.01%. The results obtained by the DSM using the Flügge theory are compared with the results of Xiang [22], who used the Goldenveizer-Novozhilov thin shell theory, the state-space technique and the domain decomposition method. Fundamental frequencies, along with the corresponding circumferential number m, are given in Table 4.…”

Section: Example 53mentioning

confidence: 99%

Dynamic stiffness method in the vibration analysis of circular cylindrical shell

Kolarević¹,

Nefovska-Danilović²,

Petronijević³

2016

Gra mat konstru

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UVODLjuske se često koriste kao elementi inženjerskih konstrukcija, naročito u mašinstvu, građevinarstvu, avio i brodskom inženjeringu. Razlog je u tome što ljuske mogu da se koriste za konstrukcije velikih raspona, bez potrebe za međuosloncima, i što ovakve konstrukcije imaju povoljan odnos krutosti i težine. Ljuske se koriste za konstrukcije rezervoara, delova trupova aviona, delova konstrukcija brodova i slično. Tokom životnog veka, odnosno tokom njihove primene, ove konstrukcije izložene su složenim uslovima okruženja koji podrazumevaju najrazličitije granične uslove i opterećenja, kao što su npr. dinamički uticaji velikog intenziteta koji mogu da dovedu do kolapsa konstrukcije. Potpuno poznavanje dinamičkih karakteristika ovih konstruktivnih elemenata od velike je važnosti da bi se obezbedilo sigurno, uspešno i ekonomski isplativo projektovanje.Metod dinamičke krutosti (MDK), koji u poslednje vreme privlači pažnju sve većeg broja istraživača, predstavlja alternativu metodu konačnih elemenata (MKE) u analizi vibracija. Kao što je poznato, veličina konačnog elementa mora da bude manja od petine talasne dužine koja odgovara najvišoj frekvenciji u analizi da bi se dobili rezultati zadovoljavajuće tačnosti. Zato proračun konstrukcija primenom MKE u oblasti visokih frekvencija, koje se javljaju u akustici ili kod vibracija mašina visokih frekvencija, postaje glomazan i Nevenka Kolarević, M.Sc, Univerzitet u BeograduGrađevinski fakultet, Bulevar kralja Aleksandra 73,

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Section: Example 53mentioning

confidence: 99%

Dynamic stiffness method in the vibration analysis of circular cylindrical shell

Kolarević¹,

Nefovska-Danilović²,

Petronijević³

2016

Gra mat konstru

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“…In [13] results were obtained for isotropic and specially orthotropic cylinders that were simply supported at the edges. Xiang et al [14] presented an analytical method based on the state-space technique and domain-decomposition approach to determine the natural frequencies of isotropic cylindrical shells having multiple intermediate ring supports and various combinations of end-support conditions. Wang and Lin [15] presented an analytical methodology for the vibration analysis of ring-stiffened cross-ply laminated cylindrical shells and studied the effect of inner and outer rings on natural frequencies of ring-stiffened cross-ply laminated cylindrical shells.…”

Section: Nomenclaturementioning

confidence: 99%

“…In the following, to keep the uniformity of the notation used for the partitioned fundamental variable vector, the boundary conditions are also represented by the same vector notation defined by Eqs. (13) and (14). Therefore, the boundary condition at the ends of the branched shell of revolution is expressed by…”

Section: Extension Of the Numerical Integration Technique To Branchedmentioning

confidence: 99%

Free-Vibration Analysis of Ring-Stiffened Branched Composite Shells of Revolution

Kayran

Yavuzbalkan

2010

AIAA Journal

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Application of the multisegment numerical integration technique is extended to the free-vibration analysis of macroscopically anisotropic filament-wound branched shells of revolution with ring stiffeners, considering the variation of the thickness and winding angle. The solution procedure is based on a modified-frequency trial method, which processes on the numerically integrated transformed fundamental shell equations that are obtained in terms of finite exponential Fourier transform of the fundamental shell variables. The full macroscopically anisotropic form of the constitutive relations, including first-order transverse shear deformation and all components of translatory and rotary inertia, are included in the analysis. To handle branched shells of revolution, modifications that are necessary to incorporate junctions are added to the solution procedure. Inclusion of asymmetric circumferential stiffeners, with respect to the middle surface of the shell, into the semi-analytical solution method is demonstrated by presenting two alternative methods of analysis. The present solution methodology also incorporates the variation of the thickness and winding angle along the meridian of filament-wound shells of revolution, with general meridional curvature, by assuming placement of filaments along the geodesic fiber path on the surface of the shell of revolution.

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“…They also put side by side the coupled frequencies estimated by the WPA with those attained by FEM. Xiang et al [16] accessed exact solution for the vibration characteristics of CS placed at intermediate position and used the domain decomposition technique for the sake of ordering in the segment of the shells. Zhao et al [17] investigated the effects of vibration with ring stiffeners and stringer for the laminated cross-ply rotating CS and two methods: variational method and averaging approach are used for these effects.…”

Section: Introductionmentioning

confidence: 99%

Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports

Hussain¹,

Shahzad²,

He³

2018

Computational Fluid Dynamics - Basic Instruments and Applications in Science

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Vibration analysis of fluid-filled functionally graded material (FGM) cylindrical shells (CSs) is investigated with ring supports. The shell problem is formulated by deriving strain and kinetic energies of a vibrating cylindrical shell (CS). The method of variations of Hamiltonian principle is utilized to change the shell integral problem into the differential equation (DE) expression. Three differential equations (DE) in three unknown for displacement functions form a system of partial differential equations (PDEs). The shells are restricted along the thickness direction by ring supports. The polynomial functions describe the influence of the ring supports and have the degree equal to the number of ring supports.

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Exact solutions for vibration of cylindrical shells with intermediate ring supports

Cited by 62 publications

References 18 publications

Dynamic stiffness method in the vibration analysis of circular cylindrical shell

Dynamic stiffness method in the vibration analysis of circular cylindrical shell

Free-Vibration Analysis of Ring-Stiffened Branched Composite Shells of Revolution

Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports

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