Hi @shostovari
Usually when I present differences between linear, p-delta and large displacement I use this very simple example of column.
Linear statics internal forces distribution as we expect (loads and column stiffness are defined to get 100 cm of horizontal displacement at the top of calculated column)

P-Delta - reaction MY depends on horizontal displacement Additional bending moment from vertical loads calculated (about 1 kN*m more) . Shear force Fy = FY load component, axial Fx force = FZ load component. Fx and Fy constant along column length.

Large displacement - no big differences in moments and displacements, comparing to P-delta but axial force Fx and shear force Fy are not constant along column height.

This is the main difference between P-delta and large displacement method.
In large deformation analysis internal forces are calculated in deformed structure configuration.
Loads, defined in global system of coordinates have to be balanced by internal forces in deformed column configuration. at the top and at the bottom of the column
At the top
Local Fx and Fy have to be projected on global system of coordinates to balance loads so local Fx is smaler than FZ load, while local Fy is slightly higher FY load (loaded column axis is not vertical).
At the bottom
Local Fy and Fx, are equal to applied FY and FZ loads because near support, column is not deformed (loaded column axis is "almost" vertical).

Krzysztof Wasik