Analysis and Design of Elastic Beams: Computational Methods

Numerical Modeling of Stalagmite Vibrations

“…A more accurate approach is the Timoshenko theory, which also includes shear and rotation inertia. Although this theory gives remarkably accurate results compared to a two-dimensional model, not all types of disturbances can be modelled appropriately, see Labuschagne et al (2009);Pilkey (2002). Overall, stalagmites are not unlike other common elements in mechanical engineering structures, like beams, trusses, etc., and they can be treated similarly.…”

On the reconstruction of plant photosynthetic and stress physiology across the Triassic–Jurassic boundary

“…The appropriate modeling material (paper) was cut to the size and shape of a Ginkgoites and Czekanowskia leaf. The relationship between the crosssectional area of an object with its bending properties is described by "the second moment of area" (Pilkey, 2002). A petiole of G. biloba was used to act as a petiole for Ginkgoites; however, as Czekanowskia does not have a differentiated petiole, the pseudopetiole was constructed from the same material as the leaf.…”

“…Structural engineering principles were used to reconstruct the life posture of leaves from extinct plant taxa (Pilkey, 2002). The reconstruction of Triassic Ginkgoites minuta was based on the nearest living equivalent species, G. biloba, which has a petiole of differentiated tissue with a strong structural beam shape.…”

Control of a rubbing rotor using an active auxiliary bearing

“…These piecewise by polynomials defined functions have been successfully applied on elastic structures in many cases, e.g. [45]. The polynomial functions are continuous at the connecting points.…”