Publikationen

N. Gerzen, T. Mertins, C. B. W. Pedersen:
   Geometric dimensionality control of structural components in topology optimization.
   Structural and Multidisciplinary Optimization, Vol. 65 (160), 2022.

N. Gerzen, P. M. Clausen, C. B. W. Pedersen:
   Sizing optimization for industrial applications and best practice design process .
   WIT Transactions on the Built Environment, Vol. 166, WIT Press: Southampton and Boston, pp. 41-49, 2017.

L. Radau, N. Gerzen, F.-J. Barthold:
   Sensitivity of structural response in context of linear and non-linear buckling analysis with solid shell finite elements.
   Structural and Multidisciplinary Optimization (2017), pp. 1-25.
 

N. Gerzen, F.-J. Barthold:
   Design space exploration based on variational sensitivity analysis.
   Proc. Appl. Math. Mech. 14 (2014), pp. 783-784.
 

N. Gerzen:
   Analysis and applications of variational sensitivity information in structural optimisation.
   PhD Thesis, Dortmund University of Technology, 2014.
   Shaker Verlag, Aachen, 2014, ISBN: 978-3-8440-2937-6.
 

N. Gerzen, F.-J. Barthold, S. Klinkel, W. Wagner, D. Materna:
   Variational sensitivity analysis of a nonlinear solid shell element.
   International Journal for Numerical Methods in Engineering 96 (2013), pp. 29-42.
 

N. Gerzen, F.-J. Barthold:
   Variational design sensitivity analysis of a non-linear solid shell with applications to buckilng analysis.
   In proc. of the 10th World Congress on Structural and Multidisciplinary Optimization WCSMO10 (2013).
 

N. Gerzen, F.-J. Barthold:
   Enhanced analysis of design sensitivities in topology optimisation.
   Structural and Multidisciplinary Optimization 46 (2012), pp. 585-595.
 

N. Gerzen, D. Materna, F.-J. Barthold:
   The inner structure of sensitivities in nodal based shape optimisation.
   Computational Mechanics 49 (2012), pp. 379-396.
 

N. Gerzen, F.-J. Barthold:
   Shape optimisation analysing the inner structure of sensitivity matrices.
   Proc. Appl. Math. Mech. 11 (2011), pp. 711-712.
 

N. Gerzen, F.-J. Barthold:
   Model reduction in topology optimisation analysing the inner structure of sensitivity matrices.
   Proc. Appl. Math. Mech. 10 (2010), pp. 535-536.
 

N. Gerzen, F.-J. Barthold:
   Applications of singular value decomposition in structural optimisation.
   Proc. Appl. Math. Mech. 9 (2009), pp. 579-580.

N. Gerzen, P.M. Clausen, C.B. W. Pedersen, S. Suresh:
   Fatigue Sensitivities for Sizing Optimization of Shell Structures.
   12th World Congress of Structural and Multidisciplinary Optimisation (WCSMO12), TU Braunschweig, Germany, June 5-9, 2017.
 

N. Gerzen, P. M. Clausen, C. B.W. Pedersen:
   Sizing Optimization for Industrial Applications and Best Practice Design Process.
   The 2016 International Conference on High Performance and Optimum Design of Structures and Materials, 19-21 September 2016, Siena, Italy.
 

N. Gerzen, F.-J. Barthold:
   Sensitivity of structural response with respect to uncertain loading, geometrical imperfections and deviations of material properties.
   Annual Meeting of DMV and GAMM, TU Braunschweig, Germany, March 7-11, 2016.
 

N. Gerzen, F.-J. Barthold:
   Design space exploration based on the analysis of the inner structure of sensitivities.
   10th ASMO UK / ISSMO conference on Engineering Design Optimization, Delft, The Netherlands, June 30 - July 1, 2014.
 

N. Gerzen, F.-J. Barthold:
   Sensitivity driven exploration of design space.
   International Conference on Engineering and Applied Sciences Optimization (OPT-i 2014), Kos Island, Greece, June 4-6, 2014.
 

N. Gerzen, F.-J. Barthold:
   Design space exploration based on variational sensitivity analysis.
   85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM2014), Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany, March 10-14, 2014.
 

F.-J. Barthold, N. Gerzen:
   Remarks on the internal structure of sensitivities in shape optimisation.
   Mathematical Modeling and Optimization in Mechanics (MMOM2014), University of Jyväskylä, Finland, March, 6th - 7th, 2014.
 

N. Gerzen, F.-J. Barthold:
   Design sensitivity based imperfections for non-linear buckling analysis.
   5th GACM Colloquium on Computational Mechanics (GACM2013), Hamburg-Harburg, Germany, Sept. 30th - Oct. 2nd, 2013.
 

N. Gerzen, F.-J. Barthold:
   Variational design sensitivity analysis of a non-linear solid shell with applications to buckling analysis.
   10th World Congress on Structural and Multidisciplinary Optimization (WCSMO10), Orlando (Florida), USA, May 19-24, 2013.
 

F.-J. Barthold, N. Gerzen:
   Imperfection modes for non-linear buckling analysis based on variational design sensitivities.
   84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM2013), Novi Sad, Serbia, March 18-22, 2013.
 

N. Gerzen, F.-J. Barthold:
   Advanced analysis of sensitivities in parameter-free shape optimisation.
   83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM2012), Darmstadt, Germany, March 26-30, 2012.
 

N. Gerzen, F.-J. Barthold:
   Enhanced interpretation of shape design sensitivities.
   EUROMECH 522 -  Recent Trends in Optimisation for Computational Solid Mechanics, Erlangen, Germany, October 10-12, 2011.
 

N. Gerzen, F.-J. Barthold:
   Advanced analysis of sensitivities in shape optimisation.
   4th GACM Colloquium on Computational Mechanics, Dresden, Germany, August 31 - September 2, 2011.
 

N. Gerzen, F.-J. Barthold:
   Shape optimisation analysing the inner structure of sensitivity matrices.
   82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM2011), Graz, Austria, April 18-21, 2011.
 

F.-J. Barthold, N. Gerzen:
   Advanced analysis of sensitivities in structural optimization.
   'Advances in topology and composite optimization' Workshop in honour of M.P. Bendsøe Honorary doctorate of University of Liege, Belgium, October 15, 2010.
 

N. Gerzen, F.-J. Barthold:
   Model reduction in topology optimisation analysing the inner structure of sensitivity matrices.
   IV European Conference on Computational Mechanics (ECCM2010), Paris, France, May 16-21, 2010.
 

N. Gerzen, F.-J. Barthold:
   Model reduction in topology optimisation analysing the inner structure of sensitivity matrices.
   81th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM2010), Karlsruhe, Germany, March 22-26, 2010.
 

F.-J. Barthold, N. Gerzen:
   Applications of singular value decomposition (SVD) in structural optimisation.
   Advances in Topology and Material Optimization - Methods and Industrial Applications, Copenhagen, Denmark, September 23-25, 2009.
 

N. Gerzen, F.-J. Barthold:
   Applications of singular value decomposition (SVD) in structural optimisation.
   3rd GACM Colloquium on Computational Mechanics, Hannover, Germany, September 21-23, 2009.
 

N. Gerzen, F.-J. Barthold:
   Applications of singular value decomposition (SVD) in structural optimisation.
   80th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM2009), Gdansk, Poland, February 9-13, 2009.