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The critical value of the snow free area ratio between the linear period and the accelerated period is about 0.6.

Numerical results are presented for the linear natural frequency of the first axisymmetric mode and for the ratio of the non-linear period to the linear period of natural vibration.

The results show that the melting process of ice and snow includes three phases: a starting period, a linear period and an accelerated period.

It is also shown that the period becomes a constant independent of motion amplitude and is equal to the linear period when ϵ1∼ 1·6ϵ1∼

While there are variations to the formula, they all in essence treat boarding and alighting as a linear period of time multiplied by a coefficient representative of how much passengers have been slowed down by the circumstances of other passengers, width of the doors and if they are carrying belongings [5].

In this type of equation the argument deviation (eta(t)=t-2[(t+1)/2]) is a piecewise linear period function with period 2. Also, (eta(t)) is negative for (tin[2n-1,2n)) and positive for (tin[2n,2n+1)). Thus (1) is advanced type on ([2n-1,2n)) and retarded type on ([2n,2n+1)). Therefore (1) is EPCA of alternately advanced and retarded type.

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From Fig. 4, we can find that storage capacity ratio not only affect the channeling period, but also has effect on transition period, linear flow period and formation linear flow period.

However, the position of PP and PPD curve in the transition period, linear flow period and formation linear flow period is more upper.

During linear flow period, the slope of Log q/(P i − P wf) vs log time plot is equal to −0.5.

Moreover, rather than set patterns of linear periods of incubation and giant creative leaps, the events follow an ebb and flow.

This work is concerned with the non-linear period, for each of the first four modes, of planar, flexural large amplitude free vibrations of a slender, inextensible cantilever beam carrying a lumped mass with rotary inertia at an intermediate position along its span.

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