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J. E. Bernard
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Proceedings Papers

Differentiation of Mass and Stiffness Matrices for High Order Sensitivity Calculations in Finite Element-Based Equilibrium Problems

J. E. Bernard, S. K. Kwon, J. A. Wilson
Proc. ASME. DETC90, 16th Design Automation Conference: Volume 2 — Optimal Design and Mechanical Systems Analysis, 235-238, September 16–19, 1990
Paper No: DETC1990-0073
DOI: https://doi.org/10.1115/DETC1990-0073
View Paper titled, Differentiation of Mass and Stiffness Matrices for High Order Sensitivity Calculations in Finite Element-Based Equilibrium Problems
Click here to open pdf in another window PDF for Differentiation of Mass and Stiffness Matrices for High Order Sensitivity Calculations in Finite Element-Based Equilibrium Problems
Topics: Equilibrium (Physics), Stiffness, Design, Approximation, Polynomials, Statics
Journal Articles

Using Pade´ Approximants and Curve-fitting to Approximate Eigenvalues and Eigenvectors for Large Design Changes

J. M. Vance, J. E. Bernard
Journal: Journal of Mechanical Design
Article Type: Technical Briefs
J. Mech. Des. March 1996, 118(1): 151–153.
DOI: https://doi.org/10.1115/1.2826847
Published Online: March 1, 1996
View Article titled, Using Pade´ Approximants and Curve-fitting to Approximate Eigenvalues and Eigenvectors for Large Design Changes
Click here to open pdf in another window PDF for Using Pade´ Approximants and Curve-fitting to Approximate Eigenvalues and Eigenvectors for Large Design Changes
Topics: Curve fitting, Design, Eigenvalues, Finite element analysis, Approximation, Computer software, Mode shapes, Optimization
Journal Articles

Differentiation of Mass and Stiffness Matrices for High Order Sensitivity Calculations in Finite Element-Based Equilibrium Problems

J. E. Bernard, S. K. Kwon, J. A. Wilson
Journal: Journal of Mechanical Design
Article Type: Research Papers
J. Mech. Des. December 1993, 115(4): 829–832.
DOI: https://doi.org/10.1115/1.2919275
Published Online: December 1, 1993
View Article titled, Differentiation of Mass and Stiffness Matrices for High Order Sensitivity Calculations in Finite Element-Based Equilibrium Problems
Click here to open pdf in another window PDF for Differentiation of Mass and Stiffness Matrices for High Order Sensitivity Calculations in Finite Element-Based Equilibrium Problems
Topics: Equilibrium (Physics), Stiffness, Design, Approximation, Polynomials, Statics
Journal Articles

A Constraint Function Technique for Improved Structural Dynamics

J. M. Starkey, J. E. Bernard
Journal: Journal of Vibration and Acoustics
Article Type: Research Papers
J. Vib. Acoust. January 1986, 108(1): 101–106.
DOI: https://doi.org/10.1115/1.3269292
Published Online: January 1, 1986
View Article titled, A Constraint Function Technique for Improved Structural Dynamics
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Topics: Design, Electromagnetic spectrum, Structural dynamics, Weight (Mass)
Journal Articles

The Dynamic Response of Columns Under Short Duration Axial Loads

I. K. McIvor, J. E. Bernard
Journal: Journal of Applied Mechanics
Article Type: Research Papers
J. Appl. Mech. September 1973, 40(3): 688–692.
DOI: https://doi.org/10.1115/1.3423074
Published Online: September 1, 1973
View Article titled, The Dynamic Response of Columns Under Short Duration Axial Loads
Click here to open pdf in another window PDF for The Dynamic Response of Columns Under Short Duration Axial Loads
Topics: Dynamic response, Stress, Energy dissipation, Inertia (Mechanics), Excitation, Nonlinear equations, Resonance, Transients (Dynamics)