A piecewise linear method for analyzing
supercavitation navigation body kinetic characteristics includes the steps that step1, a
supercavitation navigation body
kinetic model is built; step2, piecewise
linear fitting is performed on a non-linear sliding
force function in the
supercavitation navigation body
kinetic model to obtain a linear sliding
force function; step3, parameters of the supercavitation
kinetic model are set; step4, the supercavitation kinetic model with the piecewise linear sliding force Fp function is adopted for obtaining a sole
balance point of a supercavitation navigation body,
linearization is performed on a
system at the
balance point to obtain a jacobian matrix of the
system and a
characteristic equation at the
balance point, characteristic values of the
system are obtained, and the balance point of the system is judged to be an unstable
saddle focus. By the adoption of the
piecewise linearization of the sliding
force function, the supercavitation navigation body kinetic model is simplified, so that the balance point position and
stability conditions of the model have concise
analytical expressions, and the supercavitation navigation body kinetic characteristics are analyzed more conveniently.