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MT-1620 al.2002 How? Lump mass into discrete locations with constraint that total mass be the same Connect masses by rigid connections with rotational springs at each mass Stiffnesses of connections are influence coefficients(dependent on locations of point masses Forces applied to point masses So Figure 22. Representation of cantilevered beam as single mass system A B F becomes for simplest case with torsional spring at joint whem时 w +lenti density width thickness Paul A Lagace @2001 Unit 22MIT - 16.20 Fall, 2002 How? • Lump mass into discrete locations with constraint that total mass be the same • Connect masses by rigid connections with rotational springs at each mass • Stiffnesses of connections are influence coefficients (dependent on locations of point masses) • Forces applied to point masses So: Figure 22.3 Representation of cantilevered beam as single mass system A becomes for simplest case with torsional spring at joint B where: m = ρtwl length density thickness width Paul A. Lagace © 2001 Unit 22 - 11
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