Optimal Dynamic Absorbers for Plate Vibration Control

1975 ◽  
Vol 97 (4) ◽  
pp. 432-438 ◽  
Author(s):  
J. Van De Vegte
Keyword(s):  
Optimal Control ◽  
Vibration Control ◽  
Rectangular Plate ◽  
Optimal Control Theory ◽  
Optimal Designs ◽  
Thin Plates ◽  
Plate Vibration ◽  
Simply Supported ◽  
Modes Of Vibration ◽  
Optimal Dynamic

Modern optimal control theory is used to design passive dynamic absorbers to minimize the transient vibrations of thin plates. In addition to spring and damping constants, the absorber locations on the plate are optimized. If dynamic plate loads excite certain modes of vibration, the technique can be used to select parameters such that damping of these modes will be emphasized. The numerical example used to discuss the characteristics of the optimal designs concerns a uniform rectangular plate which is simply supported at its edges, but the technique applies in all cases where the vibration can be expressed as a sum of terms in orthogonal modes of vibration.

A Variable-Speed Method for Reducing Residual Vibrations in Elastic Cam-Follower Systems

2003 ◽  
Vol 125 (3) ◽  
pp. 480-482 ◽  
Author(s):  
Yan-An Yao ◽  
Hong-Sen Yan ◽  
Ce Zhang
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Vibration Control ◽  
Optimal Control Theory ◽  
Variable Speed ◽  
Design Point ◽  
Parameter Variations ◽  
Cam Follower ◽  
Speed Method

This paper applies the concept of variable speeds to vibration control of elastic cam-follower systems. A multi-design-point approach, based on optimal control theory, is developed for selecting suitable input speed functions of the cam that can reduce both primary and residual vibrations of the output in elastic cam-follower systems despite parameter variations. A design example is given to verify the feasibility of the approach.

A Mathematical Model of Functionally Graded Materials Thin Plates and Levy Solutions

2013 ◽  
Vol 740 ◽  
pp. 574-577
Author(s):  
Ming Lu Wang
Keyword(s):  
Mathematical Model ◽  
Rectangular Plate ◽  
Thin Plate ◽  
Functionally Graded Materials ◽  
Governing Equation ◽  
Functionally Graded ◽  
Thin Plates ◽  
Graded Materials ◽  
Simply Supported ◽  
Static Responses

The governing equation of elastic FGM thin plates was obtained by degenerating the governing equation of viscoelastic FGM thin plates. A Levy solution of a simply supported FGM rectangular plate was gotten. Based on the Levy solution, the influence of considering and ignoring mid-plane stain, due to the inhomogeneous property of the functionally graded materials, on the static responses of the functionally graded materials thin plate is investigated.

Thermoelastic Deformations of Functionally Graded Materials Plates

2013 ◽  
Vol 740 ◽  
pp. 570-573
Author(s):  
Ming Lu Wang
Keyword(s):  
Thermal Stress ◽  
Rectangular Plate ◽  
Thin Plate ◽  
Functionally Graded Materials ◽  
Governing Equation ◽  
Functionally Graded ◽  
Thin Plates ◽  
Graded Materials ◽  
Navier Solution ◽  
Simply Supported

The governing equation of thermoelastic FGM thin plates was obtained by degenerating the governing equation of thermoviscoelastic FGM thin plates. A Navier solution of a simply supported FGM rectangular plate under thermal loads was get. Based on the Navier solution, the influence of considering and ignoring mid-plane stain, due to the inhomogeneous property of the functionally graded materials, on the maximal deflection and thermal stress of the functionally graded materials thin plate is investigated.

The Levy Solution of Functionally Graded Materials Elastic Thin Plates

2013 ◽  
Vol 681 ◽  
pp. 329-332
Author(s):  
Feng Zheng ◽  
Ming Lu Wang
Keyword(s):  
Rectangular Plate ◽  
Thin Plate ◽  
Functionally Graded Materials ◽  
Governing Equation ◽  
Functionally Graded ◽  
Thin Plates ◽  
Graded Materials ◽  
Simply Supported ◽  
Static Responses

The governing equation of elastic FGM thin plates was obtained by degenerating the governing equation of viscoelastic FGM thin plates. A Levy solution of a simply supported FGM rectangular plate was gotten. Based on the Levy solution, the influence of considering and ignoring mid-plane stain, due to the inhomogeneous property of the functionally graded materials, on the static responses of the functionally graded materials thin plate is investigated.

Analysis of Thermal Deformations of FGM Thin Plates

2013 ◽  
Vol 681 ◽  
pp. 333-336
Author(s):  
Ming Lu Wang
Keyword(s):  
Thermal Stress ◽  
Rectangular Plate ◽  
Thin Plate ◽  
Functionally Graded Materials ◽  
Governing Equation ◽  
Functionally Graded ◽  
Thin Plates ◽  
Graded Materials ◽  
Navier Solution ◽  
Simply Supported

The governing equation of thermoelastic FGM thin plates was obtained by degenerating the governing equation of thermoviscoelastic FGM thin plates. A Navier solution of a simply supported FGM rectangular plate under thermal loads was get. Based on the Navier solution, the influence of considering and ignoring mid-plane stain, due to the inhomogeneous property of the functionally graded materials, on the maximal deflection and thermal stress of the functionally graded materials thin plate is investigated.

scholarly journals Pricing General Insurance Using Optimal Control Theory

2005 ◽  
Vol 35 (02) ◽  
pp. 427-453 ◽  
Author(s):  
Paul Emms ◽  
Steven Haberman
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Optimal Control Theory ◽  
Demand Function ◽  
Demand Functions ◽  
Terminal Wealth ◽  
Premium Rate ◽  
General Insurance ◽  
Optimal Dynamic ◽  
Linear Demand

Insurance premiums are calculated using optimal control theory by maximising the terminal wealth of an insurer under a demand law. If the insurer sets a low premium to generate exposure then profits are reduced, whereas a high premium leads to reduced demand. A continuous stochastic model is developed, which generalises the deterministic discrete model of Taylor (1986). An attractive simplification of this model is that existing policyholders should pay the premium rate currently set by the insurer. It is shown that this assumption leads to a bang-bang optimal premium strategy, which cannot be optimal for the insurer in realistic applications. The model is then modified by introducing an accrued premium rate representing the accumulated premium rates received from existing and new customers. Policyholders pay the premium rate in force at the start of their contract and pay this rate for the duration of the policy. It is shown that, for two demand functions, an optimal premium strategy is well-defined and smooth for certain parameter choices. It is shown for a linear demand function that these strategies yield the optimal dynamic premium if the market average premium is lognormally distributed.

Sign in / Sign up

Export Citation Format

Share Document