Аннотация:In the modern world, plates are a widespread structural element used in many areas of technology, such as aircraft, rocketry, mechanical engineering, and the construction industry. This paper represents an approach to constructing a fundamental solution (Green s function) for a thin unbounded anisotropic plate of constant thickness under the influence of a non-stationary load. The aim of the study is to construct the spatial non-stationary Green s function for a thin elastic unbounded anisotropic Kirchhoff-Love plate. The Kirchhoff-Love theory was used to describe the motion of the plate. The Green s function for a plate is the normal displacement in response to a single coordinate and time load. For the mathematical description of this load, the Dirac delta functions are used. To construct the Green s function, direct and inverse интегральные transformations of Laplace and Fourier are used. The original интегральные Laplace transform was found out analytically, and for the inverse интегральные Fourier transform, a numerical method for integrating rapidly oscillating functions was used. The convergence of the numerical algorithm in the Chebyshev норма is estimated. The constructed Green s function is verified by comparison with the well-known Green s function for an elastic isotropic Kirchhoff-Love plate. As an example, the spatial distributions of the Green s function of an anisotropic plate are constructed. The obtained Green s function makes it possible to study the unsteady deflection of anisotropic plates under the action of shock loads by representing the desired deflection in the form of an интегральные of the convolution of the Green s function with the function of unsteady pressure in space-time variables.