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CDS 280: Advanced Topics in Geometric Mechanics or Dynamical Systems Theory
1.00 - 9.00 Credits
California Institute of Technology
Topics will vary according to student and instructor interest. Examples include chaotic transport theory, invariant manifold techniques, multidimensional geometric perturbation theory, the dynamics of coupled oscillators, rigid-body dynamics, numerical methods in dynamical systems theory. May be repeated for credit. Not offered 2012–13.
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CDS 280 - Advanced Topics in Geometric Mechanics or Dynamical Systems Theory
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CDS 300 abc: Research in Control and Dynamical Systems
1.00 - 9.00 Credits
California Institute of Technology
Research in the field of control and dynamical systems. By arrangement with members of the staff, properly qualified graduate students are directed in research. Instructor: Staff.
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CDS 300 abc - Research in Control and Dynamical Systems
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CDS 90 abc: Senior Thesis in Control and Dynamical Systems
9.00 Credits
California Institute of Technology
Research in control and dynamical systems, supervised by a Caltech faculty member. The topic selection is determined by the adviser and the student and is subject to approval by the CDS faculty. First and second terms: midterm progress report and oral presentation during finals week. Third term: completion of thesis and final presentation. Not offered on a pass/fail basis. Instructor: Murray.
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CDS 90 abc - Senior Thesis in Control and Dynamical Systems
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CE 100: Special Topics in Civil Engineering
1.00 - 9.00 Credits
California Institute of Technology
Special problems or courses arranged to meet the needs of first-year graduate students or qualified undergraduate students. Graded pass/fail.
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CE 100 - Special Topics in Civil Engineering
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CE 101 abc: Fluid Mechanics
9.00 Credits
California Institute of Technology
Fundamentals of fluid mechanics. Microscopic and macroscopic properties of liquids and gases; the continuum hypothesis; review of thermodynamics; general equations of motion; kinematics; stresses; constitutive relations; vorticity, circulation; Bernoulli’s equation; potential flow; thin-airfoil theory; surface gravity waves; buoyancy-driven flows; rotating flows; viscous creeping flow; viscous boundary layers; introduction to stability and turbulence; quasi one-dimensional compressible flow; shock waves; unsteady compressible flow; and acoustics. Instructors: Pullin, Dimotakis.
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CE 101 abc - Fluid Mechanics
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CE 102 abc: Mechanics of Structures and Solids
9.00 Credits
California Institute of Technology
Static and dynamic stress analysis. Two- and three-dimensional theory of stressed elastic solids. Analysis of structural elements with applications in a variety of fields. Variational theorems and approximate solutions, finite elements. A variety of special topics will be discussed in the third term such as, but not limited to, elastic stability, wave propagation, and introductory fracture mechanics. Instructors: Bhattacharya, Ravichandran.
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CE 102 abc - Mechanics of Structures and Solids
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CE 108 ab: Computational Mechanics
9.00 Credits
California Institute of Technology
Numerical methods and techniques for solving initial boundary value problems in continuum mechanics (from heat conduction to statics and dynamics of solids and structures). Finite difference methods, direct methods, variational methods, finite elements in small strains and at finite deformation for applications in structural mechanics and solid mechanics. Solution of the partial differential equations of heat transfer, solid and structural mechanics, and fluid mechanics. Transient and nonlinear problems. Computational aspects and development and use of finite element code. Instructors: Dennis Kochmann.
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CE 108 ab - Computational Mechanics
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CE 112 ab: Hydraulic Engineering
9.00 Credits
California Institute of Technology
A survey of topics in hydraulic engineering: open channel and pipe flow, subcritical/critical flow and the hydraulic jump, hydraulic structures (weirs, inlet and outlet works, dams), hydraulic machinery, hydrology, river and flood modeling, solute transport, sediment mechanics, groundwater flow. Not offered 2012–13.
Prerequisite:
ME 19 or equivalent; ACM 95/100 or equivalent (may be taken concurrently).
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CE 112 ab - Hydraulic Engineering
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CE 150 abc: Graduate Engineering Seminar
1.00 Credits
California Institute of Technology
Students are required to attend a graduate seminar, in any division, each week of each term. Students not registered for the M.S. and Ph.D. degrees must receive the instructor’s permission. Graded pass/fail. Instructor: Staff.
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CE 150 abc - Graduate Engineering Seminar
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CE 151 ab: Dynamics and Vibrations
9.00 Credits
California Institute of Technology
Equilibrium concepts, conservative and dissipative systems, Lagrange’s equations, differential equations of motion for discrete single and multi degree-of-freedom systems, natural frequencies and mode shapes of these systems (Eigen value problem associated with the governing equations), phase plane analysis of vibrating systems, forms of damping and energy dissipated in damped systems, response to simple force pulses, harmonic and earthquake excitation, response spectrum concepts, vibration isolation, seismic instruments, dynamics of continuous systems, Hamilton’s principle, axial vibration of rods and membranes, transverse vibration of strings, beams (Bernoulli-Euler and Timoshenko beam theory), and plates, traveling and standing wave solutions to motion of continuous systems, Rayleigh quotient and the Rayleigh-Ritz method to approximate natural frequencies and mode shapes of discrete and continuous systems, frequency domain solutions to dynamical systems, stability criteria for dynamical systems, and introduction to nonlinear systems and random vibration theory. Instructor: Staff.
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CE 151 ab - Dynamics and Vibrations
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