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Recognizing the limitations of existing distributions for 3-D rotations, Bingham et al. (2009) developed the Uniform Axis-Random Spin (UARS) class of distributions, Bingham et al. (2012) developed the Preferred Axis-Random Spin (PARS) class of distributions, and Oualkacha and Rivest (2009) developed a new model for symmetric axial directional data.
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Especially, we focused on the study of the mechanical flexibility of the hybrid film, so various flexible tests such as bending, folding, and uniaxial and multi-axial directional stretching tests were performed.
This paper presents a dynamic model for the vibration of a rotating Timoshenko beam subjected to a three-directional load moving in the axial direction.
The directional freezing approach endows the graphene aerogel with a high compressive strength in the axial direction and good compressibility in both axial and radial directions.
Using the 2-D power-law distribution, it is possible to consider various kinds of two directional volume fraction profiles including sigmoidal radial variation as well as symmetrical or classical variation in axial direction.
Axial direction.
In the MGPS, the z-directional axial strains are assumed to vary linearly along the radial direction; εz=ε0+ε1r.
Stresses can be axial e.g., directional tension or simple compression or shear (tangential), or all-sided (e.g., hydrostatic compression).
The conditions that the z-directional force and the circumferential moment resultants vanish are thus used to solve the z-directional axial strains as well as the radial and circumferential strains.
The performance of the proposed constitutive model is verified at the structural component level, by means of finite element simulations of large-scale structural columns or bridge pier elements under constant axial load and uni-directional quasi-static cyclic loading.
Five high-intensity historical input motions, which produced significant response in the turbine, were used to investigate the difference in seismic demand of a parked turbine for uni-axial and bi-directional excitation scenarios.
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