1, continuity-assuming that the object is continuous, each physical quantity can be represented by a continuous function.
2. Consistency-it is assumed that objects are made of the same material. It is concluded that e, μ and so on have nothing to do with position (x, y, z).
3. Isotropy-It is assumed that the object is isotropic. Get e, μ, etc. It has nothing to do with direction.
The research content of structural mechanics includes the composition law of the structure and the response of the structure under various actions (external force, temperature effect, construction error, bearing deformation, etc.). ), including the calculation of internal force (axial force, shear force, bending moment and torque), displacement (linear displacement and angular displacement) and dynamic response (natural vibration period and mode shape) of the structure under dynamic load.
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Structural mechanics is an ancient discipline and a rapidly developing discipline. The appearance of new engineering materials and new engineering structures provides new research contents and new requirements for structural mechanics. The development of computer provides a powerful calculation tool for structural mechanics.
On the other hand, structural mechanics has also promoted the development of mathematics and other disciplines. The emergence and development of finite element method, a mathematical method, is closely related to the study of structural mechanics.
The principle of energy in structural mechanics expresses the relationship among stress, strain or deformation, displacement, material properties and external influences in the form of calculation of energy or internal force and external force.
Because energy is a scalar, these relations provide a convenient and optional method for the governing equations of deformable bodies in solid mechanics.
Baidu encyclopedia-structural mechanics