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The expressions for bending rotation, shear force and bending moment at any cross-section of the beam are also obtained in explicit analytical form.
Furthermore, the exact solutions to the quintic nonlinear beam equation are also obtained after substituting all the original variables to the solutions.
Resonant frequencies of the cantilever beam, including bending, torsional, and lateral modes, are also obtained beforehand numerically and experimentally for understanding behaviors of the disturbance-induced vibrations.
A higher ultimate load capacity was also obtained for the beams under impact loading, compared to those under quasi-static loading, and the residual load capacity after impact damage improved by including 2 % steel fibers and using the longer steel fibers.
Using a scanning electron beam, line structures with both branched and unbranched morphologies were also obtained.
Some SAXS patterns were also obtained at the G1 station of the Cornell High Energy Synchrotron Source (CHESS), with a beam energy of 10.5 keV and sample-to-detector distance of approximately 2.5 m.
New PDNBs were also obtained by modulating the initial phase difference between adjacent interfering beams.
