nowacki_beam: Test function: The Nowacki Beam

In coldfir3/suropt: Surrogate-Based Optimization

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

nowacki_beam(c(0,0))
nowacki_beam(c(1,1))

coldfir3/suropt documentation built on May 12, 2019, 5:44 a.m.