What is the purpose of finite element analysis?

Solve partial differential equations.

With the intensification of market competition, the product update cycle is getting shorter and shorter, the enterprise demand for new technology is more urgent, and the finite element numerical simulation technology is to improve product quality, shorten the design cycle, improve the competitiveness of the product of an effective means, so, with the development of computer technology and computational methods, the finite element method in the field of engineering and scientific research has been more and more extensive attention and application.

It has become an effective way to solve complex engineering analysis and calculation problems, from the automobile to the space shuttle almost all of the design and manufacturing have been inseparable from the finite element analysis and calculation, and its extensive use in various fields such as machinery manufacturing, materials processing, aerospace, automotive, civil engineering and construction, electronics and electrical appliances, national defense and military, shipping, railway, petrochemicals, energy and scientific research has led to a qualitative leap in the level of design. The design level has made a qualitative leap.

Expanded Information:

Basic Characteristics:

Finite Element Methods and Other Approximate Methods for Solving The fundamental difference between the approximation methods for margin problems is that its approximation is limited to a relatively small subdomain.Professor Clough, who first introduced the concept of finite elements for structural mechanics calculations in the early 1960s, pictorially depicted it as "Finite Element Method=Rayleigh Ritz Method+Split Segment Function," i.e. The finite element method is a localized case of the Rayleigh Ritz method.

Unlike the Rayleigh Ritz method, which solves the (often difficult) admissible functions that satisfy the boundary conditions of the entire domain of definition, the finite element method defines the functions on the domain of cells (piecewise functions) of simple geometrical shapes (e.g., triangles or arbitrary quadrilaterals in a two-dimensional problem) and does not take into account the complex boundary conditions of the entire domain of definition, which is one of the reasons why the finite element method is superior to the other approximations This is one of the reasons why the finite element method is superior to other approximation methods.

Baidu Encyclopedia - Finite Element Analysis