suropt (version 0.1.1)

nowacki_beam: Test function: The Nowacki Beam

Description

This function is a variation of the classic multi-objective optimization problem (NOWACKI, 1980). In this problem the aim is to design a tip loaded cantilever eam for minimum cross-sectional aera and lowest bending stress subject to a number of constraints.

Usage

nowacki_beam(x, g = c(5, 240, 120, 10, 2), l = 1500, F = 5000,
  E = 216620, G = 86650, v = 0.27, box = data.frame(b = c(10, 50),
  h = c(20, 250)))

Arguments

x

vector of length 2 correspon the normalized beath and height of the beam

g

vector of lenght 5 containing the upper limits of each constraint

l

numeric length of the beam

F

numeric force applied at the beam tip

E

numeric elastic longitudinal moduli

G

numeric elastic transversal moduli

v

numeric poison ratio

box

data.frame structure containing the upper and lower limits for b and h

Value

vector of objective and constrain responses

References

Forrester, A., Sobester, A., & Keane, A. (2008). Engineering design via surrogate modelling: a practical guide. John Wiley & Sons.

Examples

# NOT RUN {
nowacki_beam(c(0,0))
nowacki_beam(c(1,1))
# }