Accession Number : ADA241783


Title :   Transform Methods for Precision Nonlinear Wave Models of Flexible space Structures


Descriptive Note : Final rept. Jun 1990-Jun 1991


Corporate Author : PHOTON RESEARCH ASSOCIATES INC CAMBRIDGE MA CAMBRIDGE RESEARCH DIV


Personal Author(s) : Lupi, Victor ; Chun, Hon ; Turner, James


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a241783.pdf


Report Date : 20 Aug 1990


Pagination or Media Count : 169


Abstract : Several extensions to the Transform Element Method (TEM) described in the first year are presented, including: high frequency Mindlin-Herrmann rods and Timoshenko beams and two-dimensional elements for membranes, plates, and plane stress. Extensions are presented for solving open-loop control problems that use three-dimensional space frame TEM models, where the residual structural energy can be penalized via a rigorous integral constraint throughout the structural domain. Closed-loop extensions are presented for solving distributed control problems for one-dimensional elements (e.g., Bernoulli-Euler beams). New solution algorithms are discussed for solving the nonlinear functional matric Riccati integro-partial differential equations that define the feedback control kernels. A formulation is presented for developing frequency-dependent multibody dynamics in terms of an order (N) recursive solution algorithm.


Descriptors :   *DYNAMIC RESPONSE , *FLEXIBLE STRUCTURES , FREQUENCY , CONTROL , SPACE SYSTEMS , DISTRIBUTION , DYNAMICS , STRUCTURAL PROPERTIES , TWO DIMENSIONAL , ONE DIMENSIONAL , ENERGY , PROBLEM SOLVING , NONLINEAR SYSTEMS , SOLUTIONS(GENERAL) , RESIDUALS , RECURSIVE FUNCTIONS , PRECISION , PARTIAL DIFFERENTIAL EQUATIONS , ADAPTERS , INTEGRAL EQUATIONS , BODIES , OPEN LOOP SYSTEMS , PLANE WAVES , WAVES , CLOSED LOOP SYSTEMS , RICCATI EQUATION , TIMOSHENKO BEAM , STRESSES , ALGORITHMS


Subject Categories : Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE