A Survey of Analytical Methods for Dynamic Simulation of Cable-Body Systems.

The purpose of the report is to review the available methods for analyzing the dynamic motions of cable-body combinations used as either mooring or towing systems. These methods are grouped according to the manner by which the cable, as a component in the whole system, is simulated. The central idea, merits, and demerits of each group of methods are presented. Minor differences between the methods belonging to the same group are not discussed. An introduction to various types of cable-body systems and a discussion of the motivations for dynamic analysis of these systems are initially presented. (Author)

[1]  Kirk T Patton The Response of Cable-Moored Axisymmetric Buoys to Ocean Wave Excitation , 1972 .

[2]  T. Walton,et al.  Calculation of transient motion of submerged cables , 1960 .

[3]  Jacques E. Goeller,et al.  Dynamic Stress and Displacements in a Two‐Material Cable System Subjected to Longitudinal Excitation , 1969 .

[4]  J. Douglas,et al.  Galerkin Methods for Parabolic Equations , 1970 .

[5]  S. Chu Piecewise polynomials and the partition method for nonlinear ordinary differential equations , 1970 .

[6]  Joseph Genin,et al.  The Dynamical Behaviour of a Flexible Cable in a Uniform Flow Field , 1971 .

[7]  Thomas S. Walton,et al.  CALCULATION OF NONLINEAR TRANSIENT MOTION OF CABLES , 1959 .

[8]  Henry Wang A TWO-DEGREE-OF-FREEDOM MODEL FOR THE TWO-DIMENSIONAL DYNAMIC MOTIONS OF SUSPENDED EXTENSIBLE CABLE SYSTEMS , 1971 .

[9]  Morton Gertler,et al.  STANDARD EQUATIONS OF MOTION FOR SUBMARINE SIMULATION , 1967 .

[10]  T R Goodman,et al.  STATIC AND DYNAMIC ANALYSIS OF A MOORED BUOY SYSTEM , 1972 .

[11]  Robert G. Paquette,et al.  THE DYNAMICS OF SIMPLE DEEP-SEA BUOY MOORING , 1965 .

[12]  John H. Nath Analysis of Deep Water Single Point Moorings , 1970 .

[13]  A. G. Strandhagen,et al.  DYNAMICS OF TOWED UNDERWATER VEHICLES , 1963 .

[14]  A. R. Gourlay,et al.  Finite-Difference Methods for Nonlinear Hyperbolic Systems , 1968 .

[15]  V. Rosenberg,et al.  Methods for the Numerical Solution of Partial Differential Equations , 1969 .

[16]  W. Wasow,et al.  Finite-Difference Methods for Partial Differential Equations , 1961 .

[17]  John H. Nath Dynamics of single point ocean moorings of a buoy : a numerical model for solution by computer , 1969 .

[18]  Nien-Tszr Tsai Analysis of Nonlinear Transient Motion of Cables Using Bond Graph Method , 1972 .

[19]  Bruce Jennings Muga Experimental and theoretical study of motion of a barge as moored in ocean waves , 1967 .

[20]  M J Casarella,et al.  A SURVEY OF INVESTIGATIONS ON THE CONFIGURATION AND MOTION OF CABLE SYSTEMS UNDER HYDRODYNAMIC LOADING , 1970 .

[21]  C. E. Smith,et al.  The Small Oscillations of a Suspended Flexible Line , 1973 .

[22]  John W. Leonard Curved Finite Element Approximation To Nonlinear Cables , 1972 .

[23]  Sheu-Tien Hong FREQUENCY DOMAIN ANALYSIS FOR THE TENSION IN A TAUT MOORING LINE , 1972 .

[24]  Mario J. Casarella,et al.  HYDRODYNAMIC RESISTANCE OF TOWED CABLES , 1971 .

[25]  Wilfred W. Recker,et al.  Nonlinear Dynamics of Cables with Low Initial Tension , 1972 .

[26]  B. Finlayson The method of weighted residuals and variational principles : with application in fluid mechanics, heat and mass transfer , 1972 .

[27]  H Schenck,et al.  Sound Localization and Homing of Scuba Divers , 1970 .

[28]  W. G. Bickley,et al.  Piecewise Cubic Interpolation and Two-Point Boundary Problems , 1968, Comput. J..

[29]  Millard Sherwood. Firebaugh AN ANALYSIS OF THE DYNAMICS OF TOWING CABLES , 1972 .

[30]  P.A.A. Laura,et al.  Analytical and experimental study of the dynamic response of segmented cable systems , 1971 .

[31]  Richard Frank Dominguez The static and dynamic analysis of discretely represented moorings and cables by numerical means , 1970 .

[32]  J. D. DeLaurier A first order theory for predicting the stability of cable towed and tethered bodies where the cable has a general curvature and tension variation , 1970 .

[33]  Joseph Genin,et al.  Three-Dimensional Dynamical Behaviour of a Flexible Towed Cable , 1972 .

[34]  J V Wehausen,et al.  THE MOTION OF FLOATING BODIES , 1971 .

[35]  John J. McCoy EFFECTS OF BENDING STIFFNESS IN TOW AND SALVAGE CABLES , 1972 .

[36]  Leonard Pode,et al.  TABLES FOR COMPUTING THE EQUILIBRIUM CONFIGURATION OF A FLEXIBLE CABLE IN A UNIFORM STREAM , 1951 .

[37]  B. Etkin,et al.  Aerodynamic instability of non-lifting bodies towed beneath an aircraft , 1963 .

[38]  Joseph Genin,et al.  Dynamical Behaviour of a Materially Damped Flexible Towed Cable , 1972 .

[39]  Winnifred R. Jacobs,et al.  PITCHING AND HEAVING MOTIONS OF A SHIP IN REGULAR WAVES , 1957 .

[40]  R A Skop,et al.  A METHOD FOR THE ANALYSIS OF INTERNALLY REDUNDANT STRUCTURAL CABLE ARRAYS , 1971 .

[41]  Keith P Kerney,et al.  SMALL-PERTURBATION ANALYSIS OF OSCILLATORY TOW-CABLE MOTION , 1971 .

[42]  Joseph Genin,et al.  Coupling of Longitudinal and Transverse Motions of a Flexible Cable in a Uniform Flow Field , 1972 .

[43]  John H. Nath,et al.  Dynamics of Single Point Mooring in Deep Water , 1970 .

[44]  B. Wendroff,et al.  Generalized finite-difference schemes , 1969 .

[45]  N. E. Jeffrey Influence of Design Features on Underwater Towed System Stability , 1968 .

[46]  Bernard Etkin,et al.  Dynamics of flight , 1959 .

[47]  S. R. Heller,et al.  ON THE TRANSVERSE VIBRATION OF WIRE ROPE , 1972 .

[48]  Robert O. Reid DYNAMICS OF DEEP-SEA MOORING LINES , 1968 .

[49]  J. Genin Towed Vehicle Systems , 1966 .

[50]  Martin A. Abkowitz,et al.  Stability and motion control of ocean vehicles , 1969 .

[51]  Patricio A. A. Laura,et al.  A THEORETICAL AND EXPERIMENTAL INVESTIGATION OF IMPACT LOADS IN STRANDED STEEL CABLES DURING LONGITUDINAL EXCITATION , 1970 .

[52]  E. E. Zarnick,et al.  The Dynamics of a Ship Moored by a Cable System Under Sea State Excitation , 1972 .

[53]  Jacob M. Abel Cable Interactions in a Depth Controlled Submersibler , 1972 .

[54]  Richard F. Dominguez,et al.  Dynamic Analysis of Cable Systems , 1972 .

[55]  C. L. Liu,et al.  DYNAMIC LINE FORCE AND OSCILLATORY MOTION OF A VESSEL BEING WINCHED DOWN IN OCEAN - TWO COMPUTER SOLUTIONS. , 1969 .

[56]  W. E. Cummins,et al.  The Impulse Response Function and Ship Motion , 1962 .

[57]  A. R. Gourlay Some recent methods for the numerical solution of time-dependent partial differential equations , 1971, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.