Firstly a limit equation of seepage failure for the bedding layer was derived with the consideration of geometric and mechanical factors, and a reliability model was established and numerically simulated.
Firstly, a multilevel structural equation modelling approach was used to identify: (i) the relationships between median fractional anisotropy and apathy, depression and cognitive impairment; and (ii) if apathy and depression make independent contributions to quality of life in patients with small vessel disease.
For this purpose, firstly, a series of equations are introduced to predict the cavity growth dimensions over time.
Firstly, the equation is verified by the application on an aluminum rod compared with the Euler Bernoulli beam theory.
For homogeneous structures, two modifications are made to the existing ETM J-estimation equations; firstly a modification of the contained yielding solutions, and secondly modification of J-estimation equations for materials exhibiting Lüders strain.
Firstly, a new set of equations of motion is obtained by employing a set of wavenumber transformations to the original equations of motion of the flexible linkage mechanisms, in which the unknown variables can describe the structural acoustic radiation level of the mechanism directly.
Firstly, the equation of motion is derived for the plate containing the angled surface crack with respect to one side of the plate and subjected to transverse harmonic excitation.
Firstly, we embed equation (4.1) into the following equation family with a parameter (lambdain 0,1]): bigl phibigl(x'(t bigr bigr)'+ lambda fbigl(x t bigr)x'(t)+lambda gbigl(x t-tau bigr)=lambda e(t).
Firstly, a set of fractional differential equations are constructed, based on which the modulating functions method is applied, such that the fractional derivative with an arbitrary order of the output can be exactly given by an algebraic formula using a recursive way.
