Free vibration of rectangular liquid tanks: experiments and the finite element method

The development of computer techniques and computational systems based on the finite element method allows one to conduct a free vibration analysis of large systems like an aviation gearbox test rig. The object of this paper is to present a free vibration analysis of a gear fatigue test rig working in a closed loop configuration. A numerical model of the test rig based on the finite element method is presented in this paper. The base model contains all the essential structures of the real system. After the numerical results of the natural frequencies of the rig were obtained, they were then verified by the experimental results on a real object. Numerical analysis was performed using the ANSYS code. Santrauka Baigtiniu elementu metodu paremtas kompiuterines technikos ir kompiuteriniu sistemu kūrimas leidžia atlikti laisvuju svyravimu analize tokios dideles sistemos, kaip aviacines pavaru dežes, testavimo irenginys. Šio darbo tikslas buvo atlikti pavaru dežes nuovargio bandymu irenginio, veikiančio uždaro kontūro konfigūracijoje, laisvuju svyravimu analize. Taip pat pateikiamas testavimo irenginio skaitinis modelis, kurio veikimas yra pagristas baigtiniu elementu metodu. Pagrindinis modelis turi visas tikrosios sistemos svarbiausias struktūras. Gavus irenginio savuju dažniu kiekybinius rezultatus, buvo patikrinti realaus objekto eksperimentiniai rezultatai. Naudojantis ANSYS sistema buvo atlikta skaitine analize.

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FREE VIBRATION ANALYSIS OF COMPOSITE LAMINATED RIGHT TRIANGULAR PLATES WITH THE FINITE-ELEMENT METHOD

Mechanics of Advanced Materials and Structures ◽

10.1080/10759419808945891 ◽

1998 ◽

Vol 5 (1) ◽

pp. 25-39

Author(s):

Zhiqing Zou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Free Vibration ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

The Finite Element Method ◽

Element Method

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Free vibration analysis of aboveground LNG-storage tanks by the finite element method

KSME International Journal ◽

10.1007/bf03184439 ◽

2000 ◽

Vol 14 (6) ◽

pp. 633-644 ◽

Cited By ~ 5

Author(s):

Jin-Rae Cho ◽

Jin-Kyu Lee ◽

Jeong-Mok Song ◽

Suk-Ho Park ◽

Joong-Nam Lee

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Free Vibration ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Storage Tanks ◽

The Finite Element Method ◽

Element Method

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FREE VIBRATION ANALYSIS OF ROTATING FLEXIBLE BEAMS BY USING THE FOURIER p-VERSION OF THE FINITE ELEMENT METHOD

International Journal of Computational Methods ◽

10.1142/s0219876205000466 ◽

2005 ◽

Vol 02 (02) ◽

pp. 255-269 ◽

Cited By ~ 6

Author(s):

S. M. HAMZA-CHERIF

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Free Vibration ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

P Element ◽

The Finite Element Method ◽

Shape Functions ◽

Flexible Beams ◽

Element Method

A p-version of the finite element method is applied to free vibration analysis of rotating beams in conjunction with the modeling dynamic method using the arc-length stretch deformation. In this study the flexible and the rigid body degrees of freedom (d.o.f.) are supposedly uncoupled, the linear equations of motion are derived for flapwise and chordwise bending with the integration of the gyroscopic effect. The hybrid displacements are expressed as the combination of the in-plane and out-of-plane shape functions. These are formulated in terms of linear and cubic polynomial functions used generally in FEM in addition to a variable number of trigonometric shape functions which represent the internal d.o.f. for the rotating flexible beams. The convergence properties of the rotating beam Fourier p-element and the influence of angular speed, boundary conditions and slenderness ratio on the dynamic response are studied. It is shown that using this element the order of the resulting matrices in the FEM is considerably reduced leading to a significant decrease in computational effort.

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