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Matrix Methods in Structural Mechanics

Report Number: AFFDL TR 66-80
Author(s): Przemieniecki, J. S., Bader, R. M., Bozich, W. F., Johnson, J. R., Mykytow, W. J.
Corporate Author(s): Air Force Flight Dynamics Laboratory
Laboratory: Air Force Flight Dynamics Laboratory
Date of Publication: 1966-11
Pages: 973
Contract: Laboratory Research - No Contract
DoD Project: None Given
Identifier: AD0646300

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Provenance: Bombardier/Aero

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Opening Remarks AFFDL-TR-66-80 p. 1
Welcome Address AFFDL-TR-66-80 p. 3-4
Keynote Address AFFDL-TR-66-80 p. 5-7
Continua and Discontinua AFFDL-TR-66-80 p. 9-189
A Regularization Method for Calculation of Stresses, Deformations, and Elastic Modes AFFDL-TR-66-80 p. 191-204

A Survey of Analysis of Shells by the Displacement Method AFFDL-TR-66-80 p. 205-229
Development of Advanced Structural Optimization Programs and their Application to Large Order Systems AFFDL-TR-66-80 p. 231-251
Automated Stress Analysis Using Substructures AFFDL-TR-66-80 p. 253-274
A Study of the Matrix Displacement Method as Applied to Shells of Revolution AFFDL-TR-66-80 p. 275-298
The Linear Elastic Dynamic Analysis of Shells of Revolution by the Matrix Displacement Method AFFDL-TR-66-80 p. 299-328
The Equivalence of Force and Displacement Methods in the Matrix Analysis of Elastic Structures AFFDL-TR-66-80 p. 329-351
Structural Influence Coefficients for a Redundant System Including Beam-Column Effects AFFDL-TR-66-80 p. 353-383
Orthogonalization of Internal Force and Strain Systems AFFDL-TR-66-80 p. 385-393
The Generation of Inter-Element-Compatible Stiffness and Mass Matrices by the Use of Interpolation Formulas AFFDL-TR-66-80 p. 395-443
Modified Potential Energy Mass Representations for Frequency Prediction AFFDL-TR-66-80 p. 445-455
Element Stiffness-Matrices for Boundary Compatibility and for Prescribed Boundary Stresses AFFDL-TR-66-80 p. 457-477
Dynamic Stiffness Matrix Formulation by Means of Hermitian Polynomials AFFDL-TR-66-80 p. 479-502
A Flat Triangular Shell Element Stiffness Matrix AFFDL-TR-66-80 p. 503-514
Finite Element Stiffness Matrices for Analysis of Plate Bending AFFDL-TR-66-80 p. 515-545
Triangular Elements in Plate Bending - Conforming and Non-Conforming Solutions AFFDL-TR-66-80 p. 547-576
A Bending Analysis for Plates AFFDL-TR-66-80 p. 577-602
Matrix Analysis Methods for Inelastic Structures AFFDL-TR-66-80 p. 603-633
The Application of the Matrix Displacement Method in Plane Elasto-Plastic Problems AFFDL-TR-66-80 p. 635-653
Matrix Analysis of Creep and Plasticity Problems AFFDL-TR-66-80 p. 655-677
Nonlinear Structural Analysis; Tensor Formulation AFFDL-TR-66-80 p. 679-696
On the Derivation of Stiffness Matrices for the Analysis of Large Deflection and Stability Problems AFFDL-TR-66-80 p. 697-716
The Effect of Axial Loads on the Stiffness of Rigid-Jointed Plane Frames AFFDL-TR-66-80 p. 717-726
The Computation of Dynamic Response Time Histories of a System Using a Matrix Iterative Technique AFFDL-TR-66-80 p. 727-742
A Method for the Determination of the Matrix of Impulse Response Functions with Special Reference to Applications in Random Vibration Problems AFFDL-TR-66-80 p. 743-752
Numerical Approach for Wave Motions in Nonlinear Solid Media AFFDL-TR-66-80 p. 753-778
Quadratic Matrix Equations for Determining Vibration Modes and Frequencies of Continuous Elastic Systems AFFDL-TR-66-80 p. 779-802
Truncation Errors in Natural Frequencies as Computed by the Method of Component Mode Synthesis AFFDL-TR-66-80 p. 803-821
Improved Linear Axisymetric Shell-Fluid Model for Launch Vehicle Longitudinal Response Analysis AFFDL-TR-66-80 p. 823-847
Vibration Analysis of a Cantlievered Square Plate by the Stiffness Matrix Method AFFDL-TR-66-80 p. 849-860
Bending and Stretching of Plates Special Models for Upper and Lower Bounds AFFDL-TR-66-80 p. 861-886
Matrix Error Analysis for Engineers AFFDL-TR-66-80 p. 887-910
Examples of Solution Accuracy in Certain Large Simultaneous Equation Systems AFFDL-TR-66-80 p. 911-924
A Finite Element-Method for the Determination of Non-Stationary Temperature Distribution and Thermal Deformations AFFDL-TR-66-80 p. 925-943
Titan III 20 Percent Dynamic Model Characteristics - Comparison of Theory and Experiment AFFDL-TR-66-80 p. 945-973
Table of Contents AFFDL-TR-66-80 p. i-vii

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