Linear Aeroelasticity Theory/ The Possio Integral Equation

作者: A V Balakrishnan

DOI: 10.1007/978-1-4614-3609-6_5

关键词: Variety (universal algebra)Hopf bifurcationStability theoryPhilosophyMathematical analysisIntegral equationFlutterAeroelasticityCalculusLinear systemLaplace transform

摘要: In this chapter we present the linear theory which plays an essential role in nonlinear Hopf bifurcation stability to come Chap. 6. This is most studied part of beginning with pioneers: Kussner, Sohngen, Wagner, Garrick, and Theodorsen; see classic treatise [6]. also longest book covers buttressing a wide variety topics loosely referred as “Flutter Analysis”: every day “bread-and-butter” subject.

参考文章(96)
Celso Martínez Carracedo, Miguel Sanz Alix, The Theory of Fractional Powers of Operators ,(2001)
Allen E Puckett, H. W. Liepmann, Introduction to aerodynamics of a compressible fluid Wiley , Chapman. ,(1947)
G. Moretti, Towards a Closer Cooperation between Theoretical and Numerical Analysis in Gas Dynamics Transonic, Shock, and Multidimensional Flows#R##N#Advances in Scientific Computing. pp. 241- 257 ,(1982) , 10.1016/B978-0-12-493280-7.50015-2
Alampallam V. Balakrishnan, An Integral Equation in AeroElasticity Birkhäuser Basel. pp. 51- 65 ,(2007) , 10.1007/978-3-7643-7794-6_4
Andrew Majda, DISAPPEARING SOLUTIONS FOR THE DISSIPATIVE WAVE EQUATION. Indiana University Mathematics Journal. ,vol. 24, pp. 1119- 1133 ,(1975) , 10.1512/IUMJ.1975.24.24093
A.V. Balakrishnan, Nonlinear Possio integral equation and aeroelastic flutter limit cycle oscillation Nonlinear Studies. ,vol. 16, pp. 95- 118 ,(2009)
Unsteady transonic aerodynamics American Institute of Aeronautics and Astronautics. ,(1989) , 10.2514/4.865947
Deman Tang, Earl H Dowell, Dynamics of Very High Dimensional Systems ,(2003)