To identify the instantaneous frequencies of time-varying signals, the theoretical relationship between the frequency and rotational angle α in a signal was derived based on the definition of the fractional Fourier transform. Then the fractional Fourier transform was interpreted to be essentially an...
Structural vibrations of ultra-large structures during on-orbit assembly should be prevented to the maximum extent, given the extreme structural flexibility and low natural frequencies. The assembling process was divided into 4 stages: the grasping stage, the position-attitude adjusting and stabiliz...
The complex nonlinear coupling in the spatial cooperation process of mobile manipulators, makes it extremely tedious to directly model the spatial cooperative systems with the Lagrange equation or the Newton-Euler method. A dynamic modeling method, combining the Udwadia-Kalaba (U-K) method with the ...
The nonlinear vibration responses of functionally graded materials (FGMs) shells with different cone angles under external loads were studied. Firstly, the Voigt model was employed to describe the physical properties along the thickness direction of FGMs conical shells. Then, the motion equations we...
The sine-cosine method was applied to the wave equation for nonlinear elastic rods, and some new periodic and solitary solutions to the equation were obtained (with material constant n other than 1). The graphs of some solutions were given through the math software. The results are helpful to furthe...
The effective bulk modulus and the effective in-plane shear modulus of nano-fiber composites were investigated with the interface model and the interphase model based on the generalized self-consistent method, and the closed-form analytical solutions of the effective bulk modulus and all equations f...
The dual-phase-lag thermoelasticity theory with the memory-dependent differential can perfectly describe the phenomenon of non-Fourier heat conduction, nevertheless, it has not been comprehensively considered: the mechanical responses of materials under the size-dependent effects and the multiphysic...
Based on the Lyapunov stability theory, the matrix analysis method and the linear matrix inequality method, etc, the generalized H2 control of singularly perturbed uncertain-control time-varying delay systems with control input and disturbance input, was studied. A memory state generalized H2 contro...
The event-based state estimation problem was investigated for a class of complex-valued neural networks with mixed delays. Based on the measurement output, a novel event-triggering scheme was introduced to reduce the frequency of updating while ensuring the estimation performance. A waiting time was...
The Boussinesq system, as a model to describe many geophysical phenomena, is a zero-order approximation of the coupling between the Navier-Stokes equations and the thermodynamic equations. The multi-dimensional viscous Boussinesq equations were considered. By means of the implicit function theorem, ...
The projection algorithm is one of the main methods to solve variational inequality problems. At present, the research on projection algorithms usually requires the assumptions that the mapping is monotone and Lipschitz continuous, but in practical problems, these assumptions are often unsatisfied. ...
