THEORY OF WEIGHTLESS SAGGING ELASTO-FLEXIBLE CABLES

Authors

  • GURMAIL S. BENIPAL DEPARTMENT OF CIVIL ENGINEERING INDIAN INSTITUTE OF TECHNOLOGY DELHI HAUZ KHAS, NEW DELHI-110016
  • ABHIJIT GANGULI DEPARTMENT OF CIVIL ENGINEERING INDIAN INSTITUTE OF TECHNOLOGY DELHI HAUZ KHAS, NEW DELHI-110016
  • PANKAJ KUMAR DEPARTMENT OF CIVIL ENGINEERING INDIAN INSTITUTE OF TECHNOLOGY DELHI HAUZ KHAS, NEW DELHI-110016

Keywords:

WEIGHTLESS CABLES, CONFIGURATIONAL NONLINEARITY, RATE- TYPE HYPOELASTIC CONSTITUTIVE EQUATIONS, THIRD ORDER EQUATIONS OF MOTION, NEW DAMPING MODE

Abstract

IN THIS PAPER, A THEORY OF SINGLE SAGGING PLANER WEIGHTLESS ELASTO-FLEXIBLE CABLES IS PROPOSED. IN REFERENCE TO THE INSTANTANEOUS NATURAL STATE, HYPOELASTIC RATE-TYPE CONSTITUTIVE EQUATIONS AND THIRD-ORDER NONLINEAR DIFFERENTIAL EQUATIONS OF PLANER MOTION FOR MASSLESS CABLES WITH NODAL MASSES ARE DERIVED. NEW CONCEPTS LIKE CONFIGURATIONAL COMPLEMENTARY POTENTIAL AND CONTRAGRADIENT PRINCIPLES ARE PROPOSED. TYPICAL DYNAMIC RESPONSE OF THESE ELASTIC CABLES WITH DIFFERENT SUSTAINED LOADS, AXIAL RIGIDITY AND SAG/SPAN RATIOS IS DETERMINED. MODAL, SUBHARMONIC AND INTERNAL RESONANCES, JUMP AND BEAT PHENOMENA, ETC., ARE PREDICTED. A NEW MODE OF DAMPING OF ÂFREEÂ VIBRATION OF THE SYSTEM PERTURBED FROM ITS EQUILIBRIUM STATE IS IDENTIFIED. SIGNIFICANCE OF THE PROPOSED THEORY OF WEIGHTLESS SAGGING ELASTO-FLEXIBLE CABLES IS DISCUSSED.

Author Biographies

GURMAIL S. BENIPAL, DEPARTMENT OF CIVIL ENGINEERING INDIAN INSTITUTE OF TECHNOLOGY DELHI HAUZ KHAS, NEW DELHI-110016

ASSOCIATE PROFESSOR

DEPARTMENT OF CIVIL ENGINEERING
INDIAN INSTITUTE OF TECHNOLOGY DELHI

ABHIJIT GANGULI, DEPARTMENT OF CIVIL ENGINEERING INDIAN INSTITUTE OF TECHNOLOGY DELHI HAUZ KHAS, NEW DELHI-110016

ASSISTANT PROFESSOR

DEPARTMENT OF CIVIL ENGINEERING
INDIAN INSTITUTE OF TECHNOLOGY DELHI

PANKAJ KUMAR, DEPARTMENT OF CIVIL ENGINEERING INDIAN INSTITUTE OF TECHNOLOGY DELHI HAUZ KHAS, NEW DELHI-110016

RESEARCH SCHOLAR

DEPARTMENT OF CIVIL ENGINEERING
INDIAN INSTITUTE OF TECHNOLOGY DELHI

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Published

2015-11-09

Issue

Vol 13, No 1 (2016)

Section

Articles

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