% Deflected Corrugated Spring function L. LAURENT -- 16/03/2017 -- luc.laurent@lecnam.net
0001 %% Deflected Corrugated Spring function 0002 %L. LAURENT -- 16/03/2017 -- luc.laurent@lecnam.net 0003 0004 % sources available here: 0005 % https://bitbucket.org/luclaurent/optigtest/ 0006 % https://github.com/luclaurent/optigtest/ 0007 0008 % optiGTest - set of testing functions A toolbox to easy manipulate functions. 0009 % Copyright (C) 2017 Luc LAURENT <luc.laurent@lecnam.net> 0010 % 0011 % This program is free software: you can redistribute it and/or modify 0012 % it under the terms of the GNU General Public License as published by 0013 % the Free Software Foundation, either version 3 of the License, or 0014 % (at your option) any later version. 0015 % 0016 % This program is distributed in the hope that it will be useful, 0017 % but WITHOUT ANY WARRANTY; without even the implied warranty of 0018 % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 0019 % GNU General Public License for more details. 0020 % 0021 % You should have received a copy of the GNU General Public License 0022 % along with this program. If not, see <http://www.gnu.org/licenses/>. 0023 0024 % 0025 %global minimum : f(x)=0 for xi=alpha 0026 % 0027 %Design space: 0<xi<2*alpha 0028 % 0029 %alpha=5; 0030 0031 0032 function [p,dp]=funDeflectedCorrugatedSpring(xx) 0033 %constants 0034 K=5; 0035 alpha=5; 0036 a=0.1; 0037 0038 %evaluation and derivatives 0039 xa=xx-alpha; 0040 % 0041 sxa=sum(xa.^2,3); 0042 sqxa=sqrt(sxa); 0043 % 0044 p=a*sxa-cos(K*sqxa); 0045 % 0046 0047 %keyboard 0048 % 0049 if nargout==2 0050 % 0051 dp=2*a*xa+K*xa./sqxa.*sin(K*sqxa); 0052 end 0053 end