Mini-Workshop: Computational Optimization on Manifolds

2021 ◽  
Vol 17 (4) ◽  
pp. 1791-1821
Author(s):  
Pierre-Antoine Absil ◽  
Roland Herzog ◽  
Gabriele Steidl
Keyword(s):  
Computational Optimization ◽  
Optimization On Manifolds

scholarly journals The Optimum Design of Stepped Shafts: A Study in Computational Optimization

1982 ◽  
Author(s):  
C. J. Maday
Keyword(s):  
Optimum Design ◽  
Critical Speed ◽  
Numerical Solutions ◽  
Boundary Value ◽  
Minimum Principle ◽  
Problem Formulation ◽  
Rayleigh Quotient ◽  
Computational Optimization ◽  
Stepped Shaft ◽  
Determine Step

Optimum stepped shaft designs are obtained through an application of Pontryagin’s Minimum Principle. Optimum designs are obtained for a given critical speed of specified order. Indexes of Performance to be minimized include mass and rotating inertia. A general problem formulation illustrates how constraints on stress, deflections, and geometric design are taken in account. Numerical solutions are obtained to nonlinear multi-point-boundary-value-problems. A Newton-Raphson algorithm was developed to determine step locations precisely in order to facilitate the convergence of the shooting method used to solve the boundary value problem. Numerical solutions are determined with an assumed critical speed; a Rayleigh quotient calculation is used to verify that the optimum design possesses the assumed value.

Computational optimization of CH4/H2/CO blends in a spark-ignition engine using quasi-dimensional combustion model

Fuel ◽  
2021 ◽  
Vol 303 ◽  
pp. 121281
Author(s):  
Amin Paykani ◽  
Christos E. Frouzakis ◽  
Christian Schürch ◽  
Federico Perini ◽  
Konstantinos Boulouchos
Keyword(s):  
Spark Ignition ◽  
Spark Ignition Engine ◽  
Combustion Model ◽  
Computational Optimization
Sign in / Sign up

Export Citation Format

Share Document