Optimization of an Orthotropic
beam will be constructed to analyze
the stress distribution, stiffness,
displacement, and vibration modes as the fiber orientation and loading are
changed. The beam will be further optimized for given design constraints, such as
maximum torsional stiffness and damping of low frequency
The beam will be subjected to different loadings, including point, distributed and
harmonic loads. Each loading will be applied to a beam that is fixed at both ends
and to a beam that is fixed at one end and free at the other end.
Composites are widely used in the automobile, aerospace, and athletics
of composites include bumpers, wings, bicycle frames, and downhill
with the light weight and high strength characteristics of composite
materials, the ability to optimize a composite structure for a specific property is
useful to a design
of the structure, such as stiffness, stress distribution, and dynamic
response are affected by fiber and matrix material, fiber orientation, and the
number of lamina.
Methodology and Approach
A brief introduction to classical composite theory will also be discussed.
will then be used to a construct three
dimensional composite beam with a
given fiber orientation and number of lamina.
ends of the beam will be constrained as follows:
The beam will be loaded as follows for each set of constraints:
Point loads different locations (e.g. 0.25L, 0.50L, 0.75L and 1.0L)
Distributed loads of varying lengths and locations (e.g. 0.25L centered at 0.5L)
Harmonic loads of varying frequencies at different locations (e.g. 60Hz @ 0.5L)
2/05/10……….Project proposal draft
2/08/10……….Description of classical composites theory
2/1510…..……Composites research in ANSYS
2/22/10……….Construction of model in ANSYS and first analysis
2/26/10……….Progress report #1
3/01/10……….Analysis of constraints and loads
3/15/10……….Optimization of model for design constraints
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Fibrous Composite Beams.” Composites Science and Technology 50 (1994) 497
, Mustapha, Jean
, and Youssef
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Composites: Part B 39 (2008) 1069
, B., M.
, and R. G. White. “The Structural Damping of Composite
Beams with Tapered Boundaries.” Composites Structures 35 (1996) 207
. “Fatigue and Vibration
Response of Long Fiber Reinforced Thermoplastics.” Univ. of Birmingham.
Della, Christian N. and
. “Free Vibration of Composite Beams with
.” International Journal of Mechanical
Sciences 46 (2004) 509