Engineering analysis involves the application of scientific/mathematical analytic principles and processes to reveal the properties and state of a system, device or mechanism under study.
Engineering analysis is decompositional: it proceeds by separating the
engineering design
The engineering design process, also known as the engineering method, is a common series of steps that engineers use in creating functional products and processes. The process is highly iterative – parts of the process often need to be repeat ...
into the
mechanisms of operation or failure, analyzing or estimating each component of the operation or
failure mechanism in isolation, and re-combining the components according to basic physical principles and
natural laws.
Applied/engineering mathematical analysis
Engineering analysis and applied analysis are synonym terms for
mathematical analysis
Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series ( ...
/
calculus
Calculus is the mathematics, mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations.
Originally called infinitesimal calculus or "the ...
beyond basic
differential equations such as applied for various advanced
physics
Physics is the scientific study of matter, its Elementary particle, fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge whi ...
&
engineering
Engineering is the practice of using natural science, mathematics, and the engineering design process to Problem solving#Engineering, solve problems within technology, increase efficiency and productivity, and improve Systems engineering, s ...
topics (including
Fourier analysis
In mathematics, Fourier analysis () is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions. Fourier analysis grew from the study of Fourier series, and is named after Joseph Fo ...
,
Lagrangian &
Hamiltonian mechanics
In physics, Hamiltonian mechanics is a reformulation of Lagrangian mechanics that emerged in 1833. Introduced by Sir William Rowan Hamilton, Hamiltonian mechanics replaces (generalized) velocities \dot q^i used in Lagrangian mechanics with (gener ...
,
Laplace transforms,
Sturm–Liouville theory
In mathematics and its applications, a Sturm–Liouville problem is a second-order linear ordinary differential equation of the form
\frac \left (x) \frac\right+ q(x)y = -\lambda w(x) y
for given functions p(x), q(x) and w(x), together with some ...
, and others) but still can involve
mathematical proofs
A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The argument may use other previously established statements, such as theorems; but every proof c ...
.
Remote systems
Engineering analysis is the primary method for predicting and handling issues with
remote systems such as
satellites
A satellite or an artificial satellite is an object, typically a spacecraft, placed into orbit around a celestial body. They have a variety of uses, including communication relay, weather forecasting, navigation ( GPS), broadcasting, scientif ...
and
rovers. Engineering analysis for remote systems must be ongoing since the health and safety of the remote system can only be affected remotely (and because any failure could have fatal consequences).
The capabilities of engineering analysis therefore must incorporate
trending as well as analysis. Trending should be
proactive,
predictive, comprehensive and automated. Analysis must be reactive, investigative, targeted and hands-on. Together trending and analysis allow operators to both predict potential situations and identify
anomalous events that threaten a remote system.
[{{Cite book , last=Stolarski , first=Tadeusz , url=https://books.google.com/books?id=UVItRsjsFZwC&q=Engineering+analysis , title=Engineering Analysis with ANSYS Software , last2=Nakasone , first2=Y. , last3=Yoshimoto , first3=S. , date=2011-02-24 , publisher=Elsevier , isbn=978-0-08-046969-0 , language=en]
See also
*
Calculus
Calculus is the mathematics, mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations.
Originally called infinitesimal calculus or "the ...
*
Differential equations
*
Fourier analysis
In mathematics, Fourier analysis () is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions. Fourier analysis grew from the study of Fourier series, and is named after Joseph Fo ...
*
List of computer-aided engineering software
*
Mathematical analysis
Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series ( ...
*
Multivariable Calculus
Multivariable calculus (also known as multivariate calculus) is the extension of calculus in one variable to calculus with functions of several variables: the differentiation and integration of functions involving multiple variables ('' mult ...
*
Pinch analysis
*
Structural analysis
Structural analysis is a branch of solid mechanics which uses simplified models for solids like bars, beams and shells for engineering decision making. Its main objective is to determine the effect of loads on physical structures and their c ...
References
Engineering concepts
Analysis