Browsing Rice University Electronic Theses and Dissertations by Subject "Applied Mechanics"
Now showing items 158 of 58

A comparison of finite difference stencils on two forms of the acoustic wave equation
(2000)In practice, two forms of the acoustic wave equation, the velocitystress and pressure forms, are used to simulate seismic experiments. These equations in their discrete forms lead to two families of finite difference ... 
A threedimensional finite element method for quantifying stress shielding following total hip replacement
(1993)One of the critical problems associated with total hip replacement is the loosening of femoral stem. A major cause of femoral stem loosening is believed to be stress shielding of the proximal femur following implantation. ... 
A waveletbased numerical scheme for stochastic mechanics
(2000)Uncertainty is an inherent part of many physical systems. This is often ignored to simplify mathematical models thereby leading to a deterministic treatment of the system. Incorporation of the uncertainty into the model, ... 
ACCELERATION WAVES
(1984)Threedimensional acceleration waves are studied for a large class of materials which includes nonlinear elastic materials, finite linear viscoelastic materials, elasticplastic materials, hypoelastic materials, and ... 
Advanced fluidstructure interaction techniques for modeling ringsail parachutes
(2010)The Team for Advanced Flow Simulation and Modeling (T☆FSM) at Rice University specializes in developing fluidstructure interaction (FSI) modeling techniques for several classes of challenging problems including ... 
An analysis of nonlinear damping and stiffness effects in forcelimited random vibration testing
(1998)The effects of both stiffness and damping nonlinearities on forcelimited, random vibration test specifications are investigated. The response of the sourceload vibratory system to a random, Gaussian excitation is analyzed ... 
An optimization algorithm for minimum weight design of steel frames with nonsmooth stress constraints
(2005)A new algorithm is presented for the solution of structural optimization problems in which the stress constraints are nonsmooth. The allowable stresses of structural members may be governed by one of three types of behavior: ... 
Approximate models for optimal control of turbulent channel flow
(2000)Advances in highperformance computing and LargeEddy Simulation (LES) have made it possible to obtain accurate solutions of complex, turbulent flows at moderate Reynolds numbers. With these advances, computational modeling ... 
Arterial fluid mechanics computations with the stabilized spacetime fluidstructure interaction techniques
(2007)The stabilized spacetime fluidstructure interaction (SSTFSI) techniques developed by the Team for Advanced Flow Simulation and Modeling (T☆AFSM) are applied to the field of arterial fluid mechanics through the FSI ... 
Axisymmetric fluid jet impingement of a rock halfspace
(1990)The effects of an axisymmetric fluid jet impinging on a rock halfspace are examined. A recently developed constitutive model for porous elastic materials, which explicitly provides for the compressibilities of the solid ... 
Ballistic limit equation for hypervelocity impact on compositeorthotropic materials
(2004)Two new ballistic limit equations for hypervelocity impact on homogeneous and compositeorthotropic materials have been developed for a velocity range above 6 km/s. The methodology used to develop the ballistic limit ... 
Control of smart base isolated buildings with new semiactive devices and novel H2/LQG, Hinfinity and timefrequency controllers
(2005)The large base displacement demands imposed by near field earthquakes on base isolated buildings and the development and implementation of novel semiactive control devices and new algorithms to overcome this problem, is a ... 
Deterministic and random analysis of systems with hysteresis using the Preisach formalism
(2005)The hysteretic behavior of singledegreeoffreedom systems subjected to external loads is examined using the classical Preisach model. Two cases are considered. First, the response of an oscillator having a nonlinear ... 
Deterministic and random vibrations of systems with frequencydependent parameters or fractional derivatives
(1998)Frequency and time domain analyses of system models containing frequency dependent parameters or fractional derivatives are considered. Both model types result in integrodifferential equations in the time domain, and in ... 
Development of a large space robot: A multisegment approach
(1991)A multisegment robot is developed as a concept for use in space based construction operations. The multisegment robot is envisioned as a member of a class of large space robots, or space cranes, used in the assembly of ... 
Development of stochastic quadratization for nonlinear systems with application to compliant offshore structures
(1990)The exploration and production of oil at offshore locations is extending into ever increasing water depths. To exploit this resource in water depths in excess of 300 meters, a new class of offshore structures called compliant ... 
Drilling bottomhole assembly dynamics
(1992)A mathematical model is proposed for studying the dynamic behavior of drillstrings, focusing on the lower section of the drillstring known as the bottomhole assembly or "BHA". In parallel, a comprehensive assessment of ... 
Dynamics of flexible mechanical systems with parameter stochasticity
(1994)Equations of motion for flexible multibody systems with model uncertainty are developed using the Lagrangian formulation. The dynamic model developed serves to exemplify systems which possess undesirable flexibility by ... 
Energy release rate in a cracked elasticplastic solid
(1993)To predict the growth of a crack in a body, Griffith introduced, for linear elastic materials, the concept of the energy release rate. According to this concept, crack growth occurs when the work done on a body by the ... 
Experimental investigation for constitutive modeling of fine sand under cyclic loading using hollow cylinder specimens
(1991)An experimental program for the understanding of the behavior of fine cohesionless soil under monotonic and cyclic loading and for the development and refinement of constitutive models has been undertaken. An experimental ... 
Mixed finite element methods for flow in porous media
(1996)Mixed finite element discritizations for problems arising in flow in porous medium applications are considered. We first study second order elliptic equations which model single phase flow. We consider the recently introduced ... 
Model reduction of second order linear dynamical systems
(2005)In this thesis, we propose several algorithms for model reduction of second order dynamical systems. These various projection methods are based on singular value decomposition, Krylov projection, and balanced truncation. ... 
Multibody mechanics and the residual flexibility method
(1996)This thesis provides first an introduction to an area of continuum mechanics the author terms multibody mechanics. Therein, a continuum is separated into a finite number of bodies. By merging ideas from classical and ... 
Nonconservative control design for robustly stable structural dynamic systems
(1996)This dissertation considers a general concept of nonconservative measures of dynamic system performance via a consistent approach in terms of signal and system norms and suggests an appropriate iterative procedure for ... 
Numerical methods for large scale matrix equations with applications in LTI system model reduction
(2002)LTI (Linear Time Invariant) systems arise frequently in different branches of engineering. This thesis mainly concerns the properties and numerical methods for large scale matrix equations related to LTI systems, the final ... 
Numerical safeguarded use of the implicit restarted Lanczos algorithm for solving nonlinear eigenvalue problems and its monotonicity analysis
(1993)In this thesis, we develop an efficient accurate numerical algorithm for evaluating a few of the smallest eigenvalues and their corresponding eigenvectors for large scale nonlinear eigenproblems. The entries of the matrices ... 
Numerical study of cavity natural convection flow with augmenting and counteracting effects by projection finite element method
(1992)A numerical study of natural convection in cavities under the effects of thermocapillarity and gravity modulation is conducted in this research. Three different algorithms which are firstorder explicit, secondorder ... 
Objectoriented implementation of padaptive finite element method
(1999)A finite element analysis methodology employing padaptivity is proposed. Objectoriented design and methodologies are used to implement the finite element package. The prefinement phase is facilitated through the addition ... 
Plastic deformation of beams under timedependent transverse impact
(1991)The permanent deformation of a rigid perfectlyplastic beam subjected to a timedependent line load is calculated. The beam has finite length, and the load is applied transversely in the middle of the span. At the initial ... 
Projection methods for model reduction of largescale dynamical systems
(2003)Numerical simulation of dynamical systems have been a successful means for studying complex physical phenomena. However, in largescale settings, the system dimension makes the computations infeasible due to memory and ... 
Random observations on random observations: Sparse signal acquisition and processing
(2010)In recent years, signal processing has come under mounting pressure to accommodate the increasingly highdimensional raw data generated by modern sensing systems. Despite extraordinary advances in computational power, ... 
Random vibration of simple models for reinforced concrete structures
(1988)The dynamic response of stiffness degrading models subjected to random excitations is investigated. Monte Carlo simulation is performed to determine the effect on the response of various system parameters and to provide ... 
Recovering elastic moduli of nonlinear anisotropic annular membranes from interior measurements of deformation and pressure
(1996)We investigate the problem of inferring elastic moduli of nonlinearly elastic membranes from interior measurements of deformation and pressure. We begin by formulating a model of membrane deformation under a vertical force ... 
Representation and synthesis of random fields: ARMA, Galerkin, and wavelet procedures
(1996)The dissertation considers methods of representation and synthesis of random fields and examines variance reduction techniques in conjunction with reliability analysis of engineering systems. The dissertation presents new ... 
Scattering of antiplane waves by fluidfilled cracks
(1999)Propagation of timeharmonic antiplane waves in an unbounded linearlyelastic solid containing parallel fluidfilled cracks is investigated. The viscous friction effects are represented by appropriate boundary conditions ... 
Simulation of nonlinear performance of a top fuel dragster race car
(2010)In order to analyze and increase the performance of a top fuel dragster, a dynamic model of the car was developed in this thesis. The drag racing car is moving mainly in a rectilinear/one dimensional mode, nevertheless, a ... 
Stabilized spacetime fluidstructure interaction techniques with the continuum element
(2007)We present the methods used to add continuum element functionality to the structure side of our FluidStructure Interaction (FSI) solver. The FSI solver, already capable of handling the interaction between membrane structure ... 
The application of feedforward artificial neural networks to function approximation and the solution of differential equations
(1994)The increasing use of artificial neural networks and other connectionist systems in engineering, and the advantages obtained from that use, motivated the development of an approach wherein a single or multiple input ... 
The direction of fracture initiation
(1992)The preferential orientation for the initiation or extension of a crack is the one which gives the maximum strain energy reduction for a given crack length. This criterion is based on the concept of maximum energy release ... 
The dynamics of filaments of complex liquids analyzed by continuum and mixed continuumstochastic methods
(2007)Formation and breakup of filaments of liquids is of fundamental importance in established and cutting edge technologies such as inkjet printing, atomization of coolants in electronic systems, and microarraying of DNA. ... 
The energy of breathing in a nonlinear model of the human lung
(1997)A Lagrangian approach is used to perform an energy analysis on a nonlinear model of the human lung. Energy functions associated with the mechanics of breathing are obtained. Analytical expressions are derived for the work ... 
The geometry of lowdimensional signal models
(2007)Models in signal processing often deal with some notion of structure or conciseness suggesting that a signal really has "few degrees of freedom" relative to its actual size. Examples include: bandlimited signals, images ... 
The use of optimization techniques in the solution of partial differential equations from science and engineering
(1996)Optimal Control of systems governed by Partial Differential Equations is an applicationsdriven area of mathematics involving the formulation and solution of minimization problems. Given a physical phenomenon described by ... 
THEORY OF INHOMOGENEOUS MEMBRANES
(1971) 
Towards a behavioral approach to linear approximate modeling
(1993)In this thesis, the foundations for the development of a behavioral approach to linear approximate modeling, are established. A particular data set, consisting of stable, discretetime, purely exponential time series and ...