Localised formulations for thick "sandwich" laminated and composite structures

被引:9
作者
da Silva, LAPS [1 ]
Santos, JMC [1 ]
机构
[1] Univ Coimbra, Dept Civil Engn, P-3049 Coimbra, Portugal
关键词
D O I
10.1007/s004660050355
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A "sandwich" panel under axial compressive loading, is studied over its post-buckling range. Alternative formulations were developed to cover solutions other than the deflection shape given by the classical Rayleigh-Ritz analysis. General elasticity principles are used to derive the total potential energy function in terms of the displacement field. Given a constant modal amplitude displacement field, which is introduced in the total potential energy function, the results are discussed having as background models studied earlier. Techniques for the analysis of localized solutions are presented with reference to the study of the beam on nonlinear elastic foundation. The concepts of localization are introduced by using dynamical analogy and the double scale perturbation method and applied to the sandwich panel, to derive the governing amplitude modulation equations. The resulting formulations are discussed using some examples, and by solving analytical and numerically the amplitude differential equations.
引用
收藏
页码:211 / 224
页数:14
相关论文
共 16 条
[1]  
Allen H.G., 1969, ANAL DESIGN STRUCTUR
[2]  
BRAUN M, 1995, COMPUT MECH, V15, P1
[3]  
Brush D., 1975, Buckling of Bars, Plates and Shells, DOI DOI 10.1115/1.3423755
[4]  
Chow WT, 1996, COMPUT MECH, V18, P215
[5]  
DASILVA LS, 1990, MECH STRUCT MECH, V18, P61
[6]   INTERACTIVE BUCKLING IN SANDWICH STRUCTURES [J].
HUNT, GW ;
DASILVA, LS ;
MANZOCCHI, GME .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1988, 417 (1852) :155-177
[7]   INTERACTIVE BENDING BEHAVIOR OF SANDWICH BEAMS [J].
HUNT, GW ;
DASILVA, LS .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1990, 57 (01) :189-196
[8]   MAXWELL CRITICAL LOADS FOR AXIALLY LOADED CYLINDRICAL SHELLS [J].
HUNT, GW ;
NETO, EL .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1993, 60 (03) :702-706
[9]   STRUCTURAL LOCALIZATION PHENOMENA AND THE DYNAMICAL PHASE-SPACE ANALOGY [J].
HUNT, GW ;
BOLT, HM ;
THOMPSON, JMT .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1989, 425 (1869) :245-267
[10]   LOCALIZED BUCKLING IN LONG AXIALLY-LOADED CYLINDRICAL-SHELLS [J].
HUNT, GW ;
NETO, EL .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1991, 39 (07) :881-894