연속계진동해석
2013년 2학기 강의내용 및 예습자료 (Adobe Acrobat PDF file)
09월 05일 : Introduction
8. Distributed-Parameter Systems: Exact Solutions
8.1 discrete & distributed systems. transverse vibration of strings
09월 07일 : 8.4a free vibration of a string. the differential eigenvalue problem
8.5a orthogonality of modes of string vibration. expansion theorem
6. Elements of Analytical Dynamics (summary)
09월 14일 : 8.2 derivation by the extended Hamilton's principle
8.A axial vibration of rods
8.B torsional vibration of circular shafts
09월 21일 : 8.3 bending vibration of beams
8.4b free vibration of a beam in bending
8.5b orthogonality of modes of beam vibration. expansion theorem
09월 28일 : <axial vibration of a thin rod with a lumped mass>
8.6a systems with lumped masses at the boundaries
8.7a eigenvalue problem, expansion theorem
<bending vibration of a cantilever beam with a lumped mass>
8.6b systems with lumped masses at the boundaries
8.7b eigenvalue problem, expansion theorem
8.8 Rayleigh's quotient
10월 05일 : 8.9 response to initial excitation
8.10 response to external excitation
8.11 systems with external forces at boundaries
10월 12일 : 8.C vibration of uniform membranes
8.D vibration of uniform plates
10월 19일 : Midterm Exam. (Chapter 8)
10월 26일 : 9. Distributed-Parameter Systems. Approximate Methods
9.1 discretization by lumping
9.2 lumped-parameter method using influence coefficients
11월 02일 : 9.3 Holzer's method for torsional vibration
9.4 Myklestad's method for bending vibration
11월 09일 : 9.A general formulation of the eigenvalue problem
9.5 Rayleigh's principle
9.6 the Rayleigh-Ritz method
11월 16일 : (9.6 the Rayleigh-Ritz method) Examples
9.7 an enhanced Rayleigh-Ritz method
9.8 the assumed-modes method. system response
11월 23일 : 9.9 Galerkin's method
9.10 the collocation method
10. The Finite Element Method
10.0 introduction
10.1 FEM as a Rayleigh-Ritz method
10.2 strings, rods, and shafts
11월 30일 : 10.6 finite element modeling of trusses
10.3 higher-degree interpolation functions
10.4 beams in bending vibration
10.7 finite element modeling of frames
10.8 system response by the FEM
12월 07일 : 10.A nondimensional natural coordinates [강의노트]
10.B two-dimensional finite elements
10.C FEM applications
12월 14일 : Final Exam. (Chapters 9 & 10)