Analysis of Structures - Baustatik-Info-Server

More documents

Recommendations

Info

Page 30Analysis of Structures - WS10/11• newton, implements the newton scheme.Implementation of Newtons Algorithmfrom math import fabs as abs# import the fabs as abs# implementation of the function of interestdef Myf(x):return x**2 +1.# calculating the derivativedef fs(f,x,h=1.e-6):h = float(h)x = float(x)return (f(x+0.5*h) - f(x-0.5*h))/h# implementation of a newton algorithmdef newton(f,x0,e=1.e-10,h=1.e-6,imax=100):error = None# initialize the error code with Noneh = float(h) # we need some floatse = float(e)x1= float(x0) # x to interatei = 1while True:# iteration counterf0 = f(x1) # function’s valueif abs(f0) < e:break# calculating the derivativef1 = fs(f,x1,h)if abs(f1) < e:error = "*** Error: vanishing derivate!"break# available iterations exceededif i >= imax:error = "*** Error: no root found!"break# calculating the values for next iterationx1 -= f0/f1E. Baeck
2.9. FUNCTIONS Page 31# increment the iteration counteri+=1# return the actual position, the function value# and the functions slope, the number of performed# iterations and the error code.return (x1,f0,f1,i,error)# the function newton is called with standard parameters# we pass the function of interest and a supposed start# positionres = newton(Myf,4.)# the returned tuple is printed into the console windowprint resEnd of Coding2.12.2011
Page 1: Analysis of StructuresBook of Examp
Page 5 and 6: CONTENTS Page 1A.1.5 Moments of Ine
Page 7: Part IProgramming with Python3
Page 10 and 11: Page 6Analysis of Structures - WS10
Page 71 and 72: 4Some Aspects and IntroductionIn th
Page 73 and 74: 4.3. A MODELING CHAIN Page 694.3 A
Page 75 and 76: 4.4. A LITTLE INTERACTIVE WARM UP E
Page 77 and 78: 5Scripts and ExamplesIn this chapte
Page 79 and 80: 5.1. 3 TRUSSES SCRIPT Page 75(6) Cr
Page 81 and 82: 5.1. 3 TRUSSES SCRIPT Page 77# (1)
Page 83 and 84: 5.1. 3 TRUSSES SCRIPT Page 79myJob.
Page 85 and 86:
5.2. U PROFILE SCRIPT Page 81prjnam
Page 87 and 88:
5.2. U PROFILE SCRIPT Page 83# - se
Page 89 and 90:
5.2. U PROFILE SCRIPT Page 85# set
Page 91 and 92:
5.2. U PROFILE SCRIPT Page 87sessio
Page 93 and 94:
5.2. U PROFILE SCRIPT Page 89Figure
Page 95 and 96:
Page 97 and 98:
Page 99:
Part IIIAppendix95
Page 102 and 103:
Page 98Analysis of Structures - WS1
Page 104 and 105:
Page 100Analysis of Structures - WS
Page 106 and 107:
Index:, 28AbaqusabaqusMacros, 73Bas
show all

Analysis of Structures - Baustatik-Info-Server

Create successful ePaper yourself

Delete template?

Save as template?