𝔖 Bobbio Scriptorium
✦   LIBER   ✦

NATURAL FREQUENCIES OF HELICAL SPRINGS OF ARBITRARY SHAPE

✍ Scribed by V. Yildirim; N. İnce

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
331 KB
Volume
204
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis

The natural frequencies of helical springs having arbitrary shapes, such as conical, barrel and hyperboloidal, are obtained by the transfer matrix method using the distributed mass model and Timoshenko's beam theory together with the axial deformation. The governing equations of cylindrical helical springs are applied to free vibration analysis of non-cylindrical helices. It is shown that the present numerical results agree well with the previously published ones which have been obtained both theoretically and experimentally. A comparison of natural frequencies of non-cylindrical helices is made. For the circular section, the effects of the helix pitch angle, the number of active turns, the ratio of diameters of the minimum cylinder to the maximum cylinder, and the ratio of diameters of maximum cylinder to the diameter of wire on the free vibration frequencies of all types of helices are investigated. The effects of axial and shear deformations, and the rotary inertia are also studied.

📜 SIMILAR VOLUMES

EXPRESSIONS FOR PREDICTING FUNDAMENTAL N
EXPRESSIONS FOR PREDICTING FUNDAMENTAL NATURAL FREQUENCIES OF NON-CYLINDRICAL HELICAL SPRINGS
✍ V. YILDIRIM 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 185 KB

Numerical and analytical studies are performed for the free vibration analysis of non-cylindrical (conical, barrel and hyperboloidal types) helical springs. The sti!ness matrix method is used in the numerical analysis. A total of 12 degrees of freedom (six displacements and six rotations) is describ

INVESTIGATION OF PARAMETERS AFFECTING FR
INVESTIGATION OF PARAMETERS AFFECTING FREE VIBRATION FREQUENCY OF HELICAL SPRINGS
✍ V. YILDIRIM 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 712 KB

A set of 12 partial differential equations pertaining to helical springs is solved for free vibrations by the transfer matrix method. The dynamic transfer matrix including the axial and the shear deformations and the rotational inertia effects for any number of coils is numerically determined up to

NATURAL FREQUENCIES OF A BEAM WITH AN AR
NATURAL FREQUENCIES OF A BEAM WITH AN ARBITRARY NUMBER OF CRACKS
✍ E.I Shifrin; R. Ruotolo 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 139 KB

In this article a new technique is proposed for calculating natural frequencies of a vibrating beam with an arbitrary ®nite number of transverse open cracks. The main feature of this method is related to decreasing the dimension of the matrix involved in the calculation, so that reduced computation

A parametric study on the natural freque
A parametric study on the natural frequencies of unidirectional composite conical springs
✍ Yıldırım, Vebil 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 803 KB

## Abstract This paper deals with the combined influences of the vibrational parameters chosen as the material types, number of active turns, helix pitch angle, minimum to maximum radii of the cylinder and maximum cylinder to wire diameters on the first six resonance frequencies of unidirectional c

NATURAL FREQUENCY AND MODE SHAPE SENSITI
NATURAL FREQUENCY AND MODE SHAPE SENSITIVITIES OF DAMPED SYSTEMS: PART I, DISTINCT NATURAL FREQUENCIES
✍ I.-W. Lee; D.-O. Kim; G.-H. Jung 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 170 KB

A procedure for determining the sensitivities of the eigenvalues and eigenvectors of damped vibratory systems with distinct eigenvalues is presented. The eigenpair derivatives of the structural and mechanical damped systems can be obtained consistently by solving algebraic equations with a symmetric