Abstract
This chapter is concerned with the first step in passive motion control, establishing a distribution of structural stiffness that produces the desired displacement profile. The stiffness distribution for static loading applied to a set of structures consisting of continuous cantilever beams, building-type structures modeled as equivalent discontinuous beams with lumped masses, and truss-type structures, is discussed. Closed form solutions are generated for the continuous cantilever beam example.
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Bibliography
Gallegos, C. M. (1998). Motion based design: solution algorithms to the inverse problem with applications to seismic design. PhD thesis, Massachusetts Institute of Technology.
Strang, G. (2003). Introduction to linear algebra. Wellesley Cambridge Press.
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© 2014 Springer International Publishing Switzerland
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Connor, J., Laflamme, S. (2014). Optimal Stiffness Distribution: Static Loading. In: Structural Motion Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-06281-5_2
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DOI: https://doi.org/10.1007/978-3-319-06281-5_2
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-06280-8
Online ISBN: 978-3-319-06281-5
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