The paper investigates the issues of a small spacecraft large elastic elements temperature shock influence within the framework of a two-dimensional model of thermal conductivity, taking into account the possible loss of stability during the temperature shock. The loss of stability causes additional movements of large elastic elements sections. The thermoelasticity problem is solved, in which the parameters of the relative motion of large elastic elements, including the loss of stability, are estimated. Additional micro-accelerations resulting from the loss of stability are estimated. Recommendations are given to avoid the loss of stability during the temperature shock.