Theory of Stochastic Simulation, with Special Application to Ocean Waves.

Abstract

The report summarizes basic mathematics for prediction in a stochastic input/output system. The method adopted is through derivation of an analytical system kernel function so that the result has a more general application than the conventional numerical extrapolation method. Both linear and nonlinear systems are treated, the corresponding examples shown being (1) prediction of future wave profiles in a random sea characterized by Neumann spectrum and (2) prediction of pressure time history on a circular pile placed in a random wave field. The same method can be extended, with appropriate modification, to such critical naval problems as prediction of ship motions and pressure on a ship's hull in a random sea. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1972
Accession Number
AD0745755

Entities

People

  • Mikio Hino

Organizations

  • Louisiana State University

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Approximation (Mathematics)
  • Cooperation
  • Extrapolation
  • Kernel Functions
  • Mathematics
  • Nonlinear Systems
  • Ocean Waves
  • Ship Motion
  • Simulations
  • Spectra
  • Waves

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis
  • Naval Architecture and Marine Engineering.