256
7 Mathematical Models of Functionally Graded Beams in Temperature Field
Fig. 7.17 Beam stability loss for different k x and q [reprinted with permission from the International Journal of Non-linear Mechanics publishers]
Fig. 7.18 Dependencies T (w (0.5)) for different k x [reprinted with permission from the International Journal of Non-linear Mechanics publishers]
7.6.4.1 Temperature Field Influence on T (w; 0.5)
In this section, we consider the influence of the temperature field type on the deflection
of the central beam point versus the intensity of the thermal load for various values of
the parameter k x (Fig. 7.18). The following parameters/functions are fixed: λ = 50,
ε = 1, boundary conditions (7.91), initial condition f i (x) = 0 for i = 1, . . . , 4 and
we take q = 0.
7 Mathematical Models of Functionally Graded Beams in Temperature Field
Fig. 7.17 Beam stability loss for different k x and q [reprinted with permission from the International Journal of Non-linear Mechanics publishers]
Fig. 7.18 Dependencies T (w (0.5)) for different k x [reprinted with permission from the International Journal of Non-linear Mechanics publishers]
7.6.4.1 Temperature Field Influence on T (w; 0.5)
In this section, we consider the influence of the temperature field type on the deflection
of the central beam point versus the intensity of the thermal load for various values of
the parameter k x (Fig. 7.18). The following parameters/functions are fixed: λ = 50,
ε = 1, boundary conditions (7.91), initial condition f i (x) = 0 for i = 1, . . . , 4 and
we take q = 0.