Utilizing Hamilton׳s principle and assumed mode method, the dynamic equations of the stator are deduced.
With the assumed mode method, the closed form dynamic model of two-link flexible manipulators is derived by using the Lagrangian approach.
For the assumed mode method, the mode shapes for two uniform beams connected by a massless torsional spring (simulating the cracked beam) are adopted as trial functions.
If discretization is performed by the assumed mode method, the question arises about the type of admissible functions to be used in series expansions.
Using this crack modeling method combined with the assumed mode method, the crack effect is introduced to the system flexibility as global additional structural flexibility.
By virtue of assumed mode method, the general dynamic model of an arbitrary flexible body with any number of lumped parameters is derived in an explicit closed form, which possesses the modular characteristic.
Using the Rayleigh-Ritz assumed mode method, the deformation variables are approximated as sleft x,tright)={displaystyle sum_{j=1}^{mu_1}{phi}_{1j}(x){q}_{1j}(t)} (2).
Using the mode method, the incidence of overeducation among males is about 33percentt among natives and between 42 and 50percentt among non-Western immigrants, depending on birth region.
Based on high-order sliding-mode methods, the non-minimum phase nature of the problem is dealt with through output redefinition.
Two discontinuous output feedback control schemes are synthesised: one is based on sliding mode methods and the other based on Lyapunov techniques.
By combining the pseudorigid-body-model method, the assumed mode method and the Lagrange equation, the overall dynamic model is derived.
