flat_plate_analytical¶

Computes the analytical frequency response of a plat plate for the input output sequences in input_seq and output_seq over the frequency points kv, if available.

The output complex values array Yan has shape (Nout, Nin, Nk); if an analytical solution is not available, the response is assumed to be zero.

If plunge_deriv is True, the plunge response is expressed in terms of first derivative dh.

param x_ea_perc:
param kv:	Frequency range of length `Nk`.
type kv:	np.array
	Elastic axis location along the chord as chord length percentage.
type x_ea_perc:	float
param x_fh_perc:
	Flap hinge location along the chord as chord length percentage.
type x_fh_perc:	float
param input_seq:
	List of `Nin` number of inputs. Supported inputs include: `gust_sears`: Response to a continuous sinusoidal gust. `pitch`: Response to an oscillatory pitching motion. `plunge`: Response to an oscillatory plunging motion.
type input_seq:	list(str)
param output_seq:
	List of `Nout` number of outputs. Supported outputs include: `Fy`: Vertical force. `Mz`: Pitching moment.
type output_seq:
	list(str)
param output_scal:
	Array of factors by which to divide the desired outputs. Dimensions of `Nout`.
type output_scal:
	np.array
param plunge_deriv:
	If `True` expresses the plunge response in terms of the first derivative, i.e. the
type plunge_deriv:
	bool

:param rate of change of plunge \(d\dot{h}\).:

returns:	A `(Nout, Nin, Nk)` array containing the scaled frequency response for the inputs and outputs specified.
rtype:	np.array