FREE VIBRATION ANALYSIS OF ORTHTROPIC THIN CYLINDRICAL SHELLS WITH VARIABLE THICKNESS BY USING SPLINE FUNCTIONS

Authors

  • POURIA BAHRAMI ATAABADI DEPARTMENT OF MARINE TECHNOLOGY, AMIRKABIR UNIVERSITY OF TECHNOLOGY, 424 HAFEZ AVENUE, TEHRAN 15916-34311, IRAN
  • MOHAMMAD REZA KHEDMATI DEPARTMENT OF MARINE TECHNOLOGY, AMIRKABIR UNIVERSITY OF TECHNOLOGY, 424 HAFEZ AVENUE, TEHRAN 15916-34311, IRAN
  • MOSTAFA BAHRAMI ATAABADI DEPARTMENT OF ENGINEERING AND BUILDING, NATIONAL IRANIAN OIL COMPANY, BOUSHEHR, 3RD PARS 75391-154, IRAN

Keywords:

CYLINDRICAL SHELL, PARABOLIC CURVATURE, VARIABLE THICKNESS, NATURAL FREQUENCY, SPLINE FUNCTION, FINITE ELEMENT METHOD.

Abstract

IN THIS STUDY, VIBRATION BEHAVIOR OF CYLINDRICAL SHELLS WITH VARIABLE THICKNESS AND CURVATURE IS INVESTIGATED. BASED ON THE LINEAR SHELL THEORY, ENERGY METHOD AND USING B-SPLINE FUNCTIONS, FREE VIBRATION RELATIONSHIPS ARE DERIVED FOR THE SHELL WITH VARIABLE THICKNESS AND CURVATURE. FREQUENCY PARAMETER AND MODE SHAPES ARE FOUND AFTER SOLVING THE FREQUENCY EIGENVALUE EQUATION. THE EFFECTS OF VARIABLE THICKNESS ALONG AXIAL AND CIRCUMFERENTIAL DIRECTIONS OF SHELL ON ITS FREQUENCY PARAMETER ARE STUDIED AND COMPARED AGAINST EACH OTHER. SHELL THICKNESS VARIES ALONG THE BOTH DIRECTIONS PARABOLICALLY. ALSO, FREQUENCY PARAMETERS FOR BOTH CIRCULAR AND PARABOLIC VARIABLE CURVATURES ALONG CIRCUMFERENTIAL DIRECTION ARE INVESTIGATED AND THE RESULTS ARE COMPARED TOGETHER. IN ADDITION, EFFECT OF VARIABLE THICKNESS ON THE MODE SHAPES IS STUDIED. BY COMPARING THE RESULTS OF THE PRESENT METHOD WITH THOSE PREVIOUSLY PUBLISHED, THE ACCURACY OF THE PRESENT METHOD IS EVALUATED.

Author Biographies

POURIA BAHRAMI ATAABADI, DEPARTMENT OF MARINE TECHNOLOGY, AMIRKABIR UNIVERSITY OF TECHNOLOGY, 424 HAFEZ AVENUE, TEHRAN 15916-34311, IRAN

MSC GRADUATE IN NAVAL ARCHITECTURE

MOHAMMAD REZA KHEDMATI, DEPARTMENT OF MARINE TECHNOLOGY, AMIRKABIR UNIVERSITY OF TECHNOLOGY, 424 HAFEZ AVENUE, TEHRAN 15916-34311, IRAN

϶ B.SC. IN CIVIL ENGINEERING, AMIRKABIR UNIVERSITY OF TECHNOLOGY, TEHRAN, IRAN, 1985-1989.
϶ M.SC. IN NAVAL ARCHITECTURE, TECHNICAL UNIVERSITY OF GDANSK, GDANSK, POLAND, 1991-1993.
϶ DR.ENG. IN STRUCTURAL ENGINEERING, HIROSHIMA UNIVERSITY, HIGASHI-HIROSHIMA, JAPAN, 1997-2000.

+ ASSOCIATE PROFESSOR, FACULTY OF MARINE TECHNOLOGY, AMIRKABIR UNIVERSITY OF TECHNOLOGY, TEHRAN, IRAN, (SINCE APRIL 2007)

+ ASSISTANT PROFESSOR, FACULTY OF MARINE TECHNOLOGY, AMIRKABIR UNIVERSITY OF TECHNOLOGY, TEHRAN, IRAN, (OCT. 2000- APRIL 2007)

MOSTAFA BAHRAMI ATAABADI, DEPARTMENT OF ENGINEERING AND BUILDING, NATIONAL IRANIAN OIL COMPANY, BOUSHEHR, 3RD PARS 75391-154, IRAN

MSC IN CIVIL ENGINEERING

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Published

2014-09-17

Issue

Vol. 11 No. 12 (2014)

Section

Articles

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