2. Benchmark solution

2.1. Reference calculation

Outline of the test case:

• Calculation of the natural modes of each triangle

  • \(\mathrm{TRI1}\) AND \(\mathrm{TRI2}\), look for clean modes for \(f\in [\mathrm{10,3000}]\)

  • \(\mathrm{TRI3}\) AND \(\mathrm{TRI4}\), search for the first \(25\) clean modes

• Definition and calculation of the static modal base of each triangle

• Creation of a static generalized model by coupling the bases

• Calculation and retrieval, on a physical basis, of the modes of the global structure

  • Travel test

  • Natural frequency test

2.2. Reference quantities and results

• \(\mathrm{FREQ}\): frequency

• \(\mathrm{DZ}\): next move \(Z\)

Testing the results returned on a physical basis:

	Component	Reference \((m)\)
Move node \(\mathrm{NO1}\)	\(\mathrm{DZ}\)	\(0.454388\)
Move node \(\mathrm{NO43}\)	\(\mathrm{DZ}\)	\(0.60375\)

Test of natural frequency values:

Component	Fashion no.	Reference \((\mathrm{Hz})\)
FREQ	\(1\)	\(5.5\)
	\(2\)	\(21.66\)
	\(3\)	\(23.64\)
	\(4\)	\(55.63\)
	\(5\)	\(56.97\)