"Non-linear analysis" is nothing but a "Plastic analysis" In general. It is at this state that the material subjected to loading behave non-linearly, ie tends to yield and therefore the stress-strain curve is no more linear.
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Tree, Graphs are the types of nonlinear data structure.
A nonlinear component is one in which the current is not proportional to the voltage, in other words it does not follow Ohm's law. The commonest nonlinear component is a diode. A nonlinear circuit is one with a nonlinear component in it.
A load line is used in graphical analysis of nonlinear electronic circuits, representing the constraint other parts of the circuit place on a non-linear device, like a diode or transistor. It is usually drawn on a graph of the current vs the voltage in the nonlinear device, called the device's characteristic curve. A load line, usually a straight line, represents the response of a linear circuit connected to the nonlinear device in question. The operating point(s) of the circuit are the points where the characteristic curve and the load line intersect; at these points the current and voltage parameters of both parts of the circuit match
Nonlinear lines do not exist since a line, by definition, must be linear.
Any model can be linear/nonlinear. Linearity can be in parameters or in variables. In Y=a+ b*x1 + c*x2 + d*x3 the model is linear in both parameters (b,c,d) and variables(x1,x2,x3) In Y=a+ (b+c)x1 + c*x2 + d*x3 the model is nonlinear in parameters (b,c,d) and linear in variables(x1,x2,x3) In Y=a+ bx1 + c*x2*x3 + d*x3 the model is linear in parameters (b,c,d) and nonlinear in variables(x1,x2,x3) In Y=a+ bx1 + c*x2*x3 + exp(b+d)*x3 the model is nonlinear in parameters (b,c,d) and nonlinear in variables(x1,x2,x3)