Natural Frequencies and Modes of Noncircular Cylindrical Shells with Variable Thickness

Budak, V. D.; Grigorenko, А. Ya.; Borisenko, М. Yu.; Бойчук, Е. В.

doi:10.1007/s10778-017-0802-x

Cited by 13 publications

(4 citation statements)

References 10 publications

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“…Розв'язок задачі на визначення власних частот в рамках теорії тонких оболонок можливий для об'єктів простої геометричної форми [5,7]. У випадках складної геометричної форми, наприклад, замкнутої оболонки еліптичного по-перечного перерізу з різним характером зміни товщини, доцільно застосовувати метод скінченних елементів (МСЕ) [1,3,8].…”

Section: вступunclassified

“…Для розв'язування задач на визначення динамічних характеристик оболонок, також використовують експериментальні методи, наприклад, безконтактний метод стробоголографічної інтерферометрії [6,8], який можна застосовувати не тільки для двовимірної, а й тривимірної задачі динаміки [9]. У світовій літературі вивченню динаміки незамкнутих оболонок приділено не так багато уваги як вивчення замкнутих оболонок, так в [10] розроблена точна процедура розв'язку для визначення частот і форм вільні коливань відкритих некругових циліндричних оболонок змінної товщини і кривини.…”

Section: вступunclassified

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Numerical analysis of free vibrations of open cylindrical shells with elliptical cross section

Grigorenko

Borysenko

Boychuk

2019

BKNUPhM

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The natural frequencies and the corresponding vibration modes of open cylindrical shells with an elliptical cross-section and variable thickness are analyzed. Various opening angle of the shell along both the minor and major axes are allowed and various boundary conditions are considered. The numerical solutions are obtained using the finite element package FEMAP with the NASTRAN solver. A number of lowfrequency vibrations are investigated in terms of their dependence on the opening angle along major and minor axes of the shell. The vibration forms for the first ten frequencies with different boundary conditions at the same opening angles are shown.

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Section: вступunclassified

Numerical analysis of free vibrations of open cylindrical shells with elliptical cross section

Grigorenko

Borysenko

Boychuk

2019

BKNUPhM

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“…ey investigated model frequencies for various types of closures. Budak et al [16] used numerical and experimental approaches to determine the dynamic characteristics of the isotropic cylindrical shell. ey applied the finite element method with Femar software to accomplish numerical calculations.…”

Section: Introductionmentioning

confidence: 99%

Frequency Analysis for Functionally Graded Material Cylindrical Shells: A Significant Case Study

Anwar

Ghamkhar

Khan

et al. 2021

Mathematical Problems in Engineering

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Cylindrical shells play an important role for the construction of functionally graded materials (FGMs). Functionally graded materials are valuable in order to develop durable materials. They are made of two or more materials such as nickel, stainless steel, zirconia, and alumina. They are extremely beneficial for the manufacturing of structural elements. Functionally graded materials are broadly used in several fields such as chemistry, biomedicine, optics, and electronics. In the present research, vibrations of natural frequencies are investigated for different layered cylindrical shells, those constructed from FGMs. The behavior of shell vibration is based on different parameters of geometrical material. The problem of the shell is expressed from the constitutive relations of strain and stress with displacement, as well as it is adopted from Love’s shell theory. Vibrations of natural frequencies (NFs) are calculated for simply supported-simply supported (SS-SS) and clamped-free (C-F) edge conditions. The Rayleigh–Ritz technique is employed to obtain the shell frequency equation. The shell equation is solved by MATLAB software.

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“…One of the software products is FEMAP and the NX Nastran solution. The proposed software tool is used in several studies of determine the frequency and forms of free vibrations of thin cylindrical shells [6][7][8]. It also tested in the calculation of a rectangular plate [9].…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of frequencies and forms of own collars of different forms with free zone

Borysenko¹,

Zavhorodnii²,

Skupskyi³

2019

J. Appl. Math. Comput. Mech.

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Thin plates of three different forms with different physical-mechanical characteristics and free edges are examined in this work. Modeling of geometry and numerical calculation of frequencies and forms of free oscillation of plates is accomplished by the finite element method, which is realized using the licensed computer program FEMAP with the NASTRAN solver. A comparative analysis of the calculated eigenfrequencies is carried out. The dependence of the corresponding frequencies on the physical and mechanical characteristics of the material in the form of coefficients is established.

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Natural Frequencies and Modes of Noncircular Cylindrical Shells with Variable Thickness

Cited by 13 publications

References 10 publications

Numerical analysis of free vibrations of open cylindrical shells with elliptical cross section

Numerical analysis of free vibrations of open cylindrical shells with elliptical cross section

Frequency Analysis for Functionally Graded Material Cylindrical Shells: A Significant Case Study

Numerical analysis of frequencies and forms of own collars of different forms with free zone

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