Account Physical Nonlinearity Research Articles

CALCULATION OF PRESTRESSED REINFORCED CONCRETE FARMS BY FINITE ELEMENT METHOD TAKING INTO ACCOUNT PHYSICAL NONLINEARITY

Considered is the method of calculation of prestressed rein￾forced concrete farms taking into account physical nonlinearity. Prestress is modeled due to the thermal effect on the core crab. Rating formulae, allowing to define the temperature value necessary for the achieving the given prestress level are given The nonlinear calculation algorithm used by the authors is based on the earlier developed and implemented into the computer system PRINS method of physically nonlinear calculation of reinforced farms without prestress of the armature. As an example is considered the calculation of prestressed farm on two supports with polygonal contour of the top belt. Load is applied in the form of concentrated forces in the top belt units. For all cores is accepted the same cross section area and the same ratio of reinforcement. Thermal loading was carried out for one step and load was applied in parts equal the one tenth of the nominal value. Calculation results are analyzed and presented.

Dynamics of shallow shells taking into account physical non-linearities

In this paper the author, has presented a solution to the problem of dynamics of shallow shell taking into account physical non-linearities. The shell is made of non-linear material obeying a cubic stress–strain law, and energy dissipation has been included in the formulation of the problem. Solutions for cylindrical and spherical shells and numerical results for these cases are based on approximate shape functions consisting of a single term in each. Some curves of amplitude–frequency relationships are given for cylindrical and spherical shells in the case of soft-type physical non-linearity.

Asymptotic equations for a concentrated effect, taking into account physical nonlinearities in thin shells

Asymptotic equations for a concentrated effect, taking into account physical nonlinearities in thin shells