Vibration analysis of nonuniform hyperboloidal and barrel helices made of functionally graded material. Issue 11 (13th September 2022)

• Record Type: Journal Article
• Authors: Calim, Faruk Firat; Cuma, Yavuz Cetin
• Is Part Of: Mechanics based design of structures and machines. Volume 50:Issue 11(2022)
• Page Start: 3781
• Page End: 3795
• Publication Date: 2022-09-13
• Subjects: Functionally graded material -- free vibration -- noncylindrical helix -- variable cross section; Structural analysis (Engineering) -- Periodicals; Structural design -- Periodicals; 624.17
• DOI: 10.1080/15397734.2020.1822181
• Languages: English
• ISSNs: 1539-7734

Abstract

Abstract: This study is in investigation of free vibration behavior of functionally graded hyperboloidal and barrel helices with variable cross section. Material and geometric variations of noncylindrical helices are assumed to be along the rod axis. Governing differential equations of motion, including rotatory inertia, axial and shear deformations are derived by the Timoshenko beam theory. Then, transfer matrix and stiffness matrix methods are employed for the numerical solution of obtained ordinary differential equations. Effects of material gradient index ( β mat ), diameter variation parameter ( β sec ), and ratio of helix radius at end section and middle section R 2 / R 1 on the natural frequencies are investigated through a parametric study considering barrel and hyperboloidal geometries. Comparisons with available literature studies and ANSYS solutions are made regarding obtained results.