An undeniable advantage of magnetorheological supports is adaptability of their stiffness properties and their real-time adjustability. Thus, it is important to research the issues of improving magnetorheological damping systems and developing simulation and calculation methods. It is noteworthy that magnetorheological systems have instable operating parameters due to heating of the magnetorheological environment in electromagnetic control fields, and change in viscosity properties of the carrier fluid. There are various ways to solve this operational problem. To avoid this negative factor, the magnetorheological environment requires an optimal thermostating. To stabilize the temperature parameters, the thermostating system should be dynamically controlled, and new constructive solutions should be implemented. The presented thermostating system has an original patented construction of a rheological thermostatic throttle with thermoelectric elements that greatly improves cooling of the working environment, and makes it possible to faster and accurately obtain the desired operating temperatures. The paper presents a methodology for calculating the stiffness properties of a magnetorheological fluid chamber that includes sub chambers with individual control electromagnets and variable dissipative-stiffness properties. We considered the ways for optimizing the distribution of dissipative-stiffness properties of subchambers, and their rational combination to develop the most advanced damping fluid systems. The described magnetorheological damping system has an original patented magnetodynamic pump that uses helical electromagnetic fields to transport the magnetorheological fluid.