# TOPOLOGY OPTIMIZATION OF CONTINUUM STRUCTURES AGAINST VIBRATION AND NOISE

Niels Olhoff (Department of Mechanical Engineering, Aalborg University)

Mis | |
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Millal |
2008-10-27 16:25
2008-10-27 17:25
2008-10-27 algus: 16:25 lõpp: 17:25 |

Kus | B101 |

Lisa sündmus kalendrisse |
vCal iCal |

**Abstract**

This lecture
will first present a brief introduction to structural topology design
optimization. By this quite novel method, the shape of external as well as
internal boundaries and the number of inner holes of a structure can be
simultaneously optimized with respect to a predefined design objective for a
prescribed total structural volume and some other constraints. Problems of
topology optimization of continuum structures against vibration and noise
subject to external excitation will be then considered. A frequent goal of the
design of vibrating structures is to avoid resonance of the structure in a
given interval for external excitation frequencies. This can be achieved by,
e.g., maximizing *(i)* the fundamental
eigenfrequency, *(ii)* an
eigenfrequency of higher order, or *(iii)*
the gap between two consecutive eigenfrequencies of given order. Such problems
are often complicated by the fact that the eigenfrequencies in question may be
multiple - or become that during the computational procedure - and this is
particularly the case in topology optimization where the design freedom is
generally very large. In the present paper, different approaches are considered
and discussed for topology optimization involving simple and multiple
eigenfrequencies of linearly elastic structures without damping. The mathematical
formulations of these topology optimization problems and several illustrative
results will be presented.