Obiekt
Tytuł: Thickness optimization of a geometrically non-linear arch at a limit point
Współtwórca:
Podtytuł:
Shape Optimization and Scientific Computations
Tytuł publikacji grupowej:
Abstract:
An optimization method for geometrically non-linear mechanical structures based on a sensitivity gradient is proposed. This gradient is computed by using an adjoint state equation and the structure is analysed by means of a total Lagrangian formulation. This classical method is well-understood for regular cases, but standard equations (see e.g. Rousselet et al., 1995) have to be modified for the limit-point case. ; The case of sensitivity of a bifurcation point is under development (see (Mróz and Haftka, 1994) for more details). An arc-length algorithm embedded in the optimization algorithm is built. These modifications introduce numerical problems which occur at limit points (Doedel et al., 1991). All systems are very stiff and the quadratic convergence of the Newton-Raphson algorithm is lost, so higher-order derivatives with respect to state variables have to be computed (Wriggers and Simo, 1990). ; The thickness distribution of the arch is optimized for differentiable costs under linear and non-linear constraints. Numerical results of optimal design of arches undergoing small and large displacements are given and compared with analytic solutions. Related topics of shape optimization can be found in (Aubert and Rousselet, 1996), and theoretical results with details in (Aubert, 1996).
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Identyfikator zasobu:
Strony:
Źródło:
AMCS, volume 6, number 2 (1996) ; kliknij tutaj, żeby przejść
Jezyk:
Prawa do dysponowania publikacją:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Jednostki organizacyjne > Wydział Informatyki, Elektrotechniki i Automatyki
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Typy utworów > Artykuły
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mathematics and Computer Science (AMCS)
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (1996)
Data ostatniej modyfikacji:
2021-09-02
Data dodania obiektu:
2020-11-17
Liczba wyświetleń treści obiektu:
95
Wszystkie dostępne wersje tego obiektu:
https://zbc.uz.zgora.pl/publication/64443
Wyświetl opis w formacie RDF:
Wyświetl opis w formacie OAI-PMH:
-
International Journal of Applied Mathematics and Computer Science (AMCS)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 21 (2011)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 20 (2010)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 19 (2009)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 18 (2008)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 17 (2007)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 16 (2006)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 15 (2005)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 13 (2003)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12 (2002)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 11 (2001)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 10 (2000)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 9 (1999)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 8 (1998)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 7 (1997)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 6 (1996)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 6, number 1 (1996)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 6, number 2 (1996)
- Thickness optimization of a geometrically non-linear arch at a limit point
- Mathematical modelling and numerical simulation of induction heating processes
- Theoretical and numerical estimates of instantaneous Lyapunov exponents of quasi-geostrophic ocean dynamics
- Shape optimal design for a fluid-heat coupled system
- Global optimization using automatic differentiation: Application to quantum chemistry
- Domain optimization problems for parabolic control systems
- Sensitivity analysis of buckling loads of physically non-linear frames using dynamic and static criteria
- A full-stress technique for structural shape optimization
- A simple method for improving the accuracy and convergence of FEM computations
- Handling the chemical part in large air pollution models
- Domain optimization problem for stationary heat equation
- LAPACK for Fortran 90
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 6, number 3 (1996)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 6, number 4 (1996)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 6, number 1 (1996)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 5 (1995)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 4 (1994)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 3 (1993)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 2 (1992)
-
International Journal of Applied Mathematics and Computer Science (AMCS),volume 1 (1991)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
| Nazwa wydania | Data |
|---|---|
| Thickness optimization of a geometrically non-linear arch at a limit point | 2021-09-02 |
