Application of the Laplace Transformation to the Solution of the Lateral and Longitudinal Stability Equations

Abstract

The application of the Laplace transformation to the solution of the lateral and longitudinal stability equations is presented. The expressions for the time history of the motion in response to a sinusoidal control motion are derived for the general case in which the initial conditions, initial displacements and initial velocities, are assumed different from zero. Some illustrative examples of the application of the Laplace transform to ordinary linear differential equations with constant coefficients and a numerical example of a specific problem are presented in appendixes.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1950
Accession Number
ADA380733

Entities

People

  • G. A. Mokrzycki

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Aircrafts
  • Airplanes
  • Automatic Pilots
  • Calculus
  • Complex Variables
  • Computational Science
  • Computations
  • Control Surfaces
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Integrals
  • Laplace Transformation
  • Linear Differential Equations
  • Mathematics
  • Simultaneous Equations
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Structural Dynamics.