154 / FIELDS OF INSTRUCTION

ESM 527-MODERN TECHNIQUES OF STRUCTURAL DYNAMICS. 3 credits
ESM 530-INDIVIDUAL STUDY 1. 1 to 9 credits. Maximum 9 credits
ESM 533-ADVANCED MECHANICS OF SOLIDS AND STRUCTURES. 3 credits
ESM 534-ELEVATED TEMPERATURE STRESS ANALYSIS. 3 credits
ESM 536-INTERMEDIATE DYNAMICS. 3 credits
ESM 549-EXPERIMENTAL STRESS ANALYSIS. 3 credits
 GRADUATE COURSES
 ESM 601-CONTINUUM MECHANICS 1. 3 credits
 Prerequisite: ESM 303 or ESM 305. Foundations of continuum mechanics.
 Analysis of motion and deformation. Conservation laws; tensor properties of stress
 and strain. Constitutive theory. Thermodynamics of continuous media.
 ESM 602-CONTINUUM MECHANICS 2. 3 credits
 Prerequisite: ESM 601. Specific constitutive classes of continuous media;
elastic solids, Newtonian and non-Newtonian fluids. Materials which exhibit plastic
and viscoelastic behavior. Formulation of specific problems.
ESM 603-ADVANCED CONTINUUM MECHANICS. 3 credits
 Prerequisite: ESM 602. Comprehensive, unified treatment of the mathematical
theories of solid and fluid mechanics, including gases.
ESM 605-PRINCIPLES OF MECHANICS IN BIOMEDICAL ENGINEERING.
 3 credits
 Prerequisite: ESM 601. Rheological behavior of biological materials subject to
steady-state and dynamic loading. Mathematical models and analytical techniques
used in the biosciences. Experimental techniques for material property investiga-
tion of representative body tissues.
ESM 621-THEORY OF STRUCTURAL VIBRATIONS 1. 3 credits
 Prerequisite: ESM 520. Lagrange's equations. Multiple degree of freedom systems.
Free and forced motions. Normal coordinates. Effect of damping. Use of matrix
methods, computers, Rayleigh-Ritz and other approximate techniques.
ESM 622-THEORY OF STRUCTURAL VIBRATIONS 2. 3 credits
 Prerequisite: ESM 621. Longitudinal and torsional vibrations of bars, lateral
vibrations of bars, membranes, and plates. Normal mode, lumped parameter, and
transformation methods. Transmission and reflection of stress waves in isotropic
elastic media.
ESM 623-NONLINEAR VIBRATIONS 1. 3 credits
 Prerequisite: ESM 520 or ESM 621. Phase plane and singular point methods.
Limit cycles. Method of averaging. Application to one degree of freedom autono-
mous and nonautonomous systems. Nonlinear resonance. Stability of solutions.
Parametrically excited systems. Method of perturbations.
ESM 624-NONLINEAR VIBRATIONS 2. 3 credits
 Prerequisite: ESM 623. Multiple degree of freedom systems. Averaging and
perturbations. Systems with slowly varying parameters. Nonlinear continuous systems.
ESM 625-RANDOM VIBRATIONS 1. 3 credits
 Prerequisite: ESM 621. Statistical analysis, response of discrete single and multi-
ple degree of freedom dynamical systems to stationary random forces and para-
metric excitation. Extension to continuous systems and non-stationary excitation.
Applications to engineering problems.
ESM 628-MODERN TECHNIQUES OF STRUCTURAL DYNAMICS. 3 credits
 Prerequisites: ESM 527, ESM 621. Modeling of complex structural systems