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RISComputing Natural Frequencies and Mode Shapes of an Axially Moving Nonuniform Beam
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The partial differential equation of motion of an axially moving beam with spatially varying geometric, mass, and material properties has been derived. Using the theory of linear time-varying systems and numerical optimization, ...
A New Approach to Compute Natural Frequencies and Mode Shapes of One-Dimensional Continuous Structures With Arbitrary Nonuniformities
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: One-dimensional continuous structures include longitudinal vibration of bars, torsional vibration of circular shafts, and transverse vibration of beams. Using the linear time-varying system theory, algorithms are developed ...
Minimum-Time Control of a Linear System With Input Saturation: A Practical Approach
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A simple algorithm is presented to find near-minimum-time control inputs for a controllable continuous-time linear time-invariant system with any number of states and inputs. The well-known digital deadbeat control algorithm ...
Minimum-Time Control of a Linear System With Input Saturation: A Practical Approach
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A simple algorithm is presented to find near-minimum-time control inputs for a controllable continuous-time linear time-invariant system with any number of states and inputs. The well-known digital deadbeat control algorithm ...
Computing Natural Frequencies and Mode Shapes of a Reddy Beam
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Abstract. This paper presents an algorithm to find natural frequencies and mode shapes of a uniform Reddy beam. In this method, spatial state equations are developed and the spatial state transition matrix is computed, ...
Computation of Eigenvalues and Eigenvectors of a Mistuned Bladed Disk Via Unidirectional Taylor Series Expansions
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper deals with the computation of eigenvalues and eigenvectors of a mistuned bladed disk. First, the existence of derivatives of repeated eigenvalues and corresponding eigenvectors is ...
Computation of the Statistics of Forced Response of a Mistuned Bladed Disk Assembly via Polynomial Chaos
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The method of polynomial chaos has been used to analytically compute the statistics of the forced response of a mistuned bladed disk assembly. The model of the bladed disk assembly considers ...
Optimal Damping of a Taut Cable Under Random Excitation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper deals with the optimal damping of a taut cable when the excitation is random in nature. Both white noise and narrow band (NB) random excitations are considered. Effects of spatial correlations of random excitations ...
Optimal Damped Vibration Absorber: Including Multiple Modes and Excitation Due to Rotating Unbalance
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Optimal vibration absorbers are designed using the definition of Hinfinity norm and numerical optimization. The cases of both constant amplitude excitation and rotating unbalance excitation are considered. The design ...
Reduced-Order Model of a Bladed Rotor With Geometric Mistuning
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper deals with the development of an accurate reduced-order model of a bladed disk with geometric mistuning. The method is based on vibratory modes of various tuned systems and proper ...