The inertia matrix appropriate to the intermediate modes is theoretically tridiagonal and the stiffness matrix is unit.
Therefore, downhole vibration modes were theoretically analyzed in terms of axial vibration, lateral vibration, stick-slip, and the physical model established by the mechanical vibration field.
Different fracture modes were theoretically analyzed based on the nonlinear delamination model, and the calculated critical thickness is 255 μm, which agrees well with the experimental result.
What does it mean to say that the domains of Field, Tenor, and Mode are theoretically motivated with respect to the language system?
Such a switch from a graded to a threshold mode is theoretically possible, based on mathematical analyses [2], [38], [39], [40], [41].
Incidentally, the same tests also reveal the lack of stability of current compatible/mimetic/staggered discretizations: This is due to the presence of specific unstable modes which are theoretically analyzed and verified in computations.
Non-linear vibrations of a straight beam clamped at both ends and forced with two frequencies near the first mode frequency are theoretically and experimentally investigated.
Other modes of elongation are theoretically possible – for example one where cell proliferation is restricted to a subset of the transcription zone.
Forced vibrations of a railway track excited at the cut-off frequency of one of its wave modes are examined theoretically, numerically and experimentally in the frequency range from 5 to 50 kHz.
Orthogonal properties of vibration modes in Timoshenko plane frames are theoretically derived, through which the equations of motion in beam elements can be transformed into the decoupled equations of motion in terms of mode amplitudes.
