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A multi-component formalism is developed to describe three-body systems withnonstatic pairwise interactions and non-nucleonic degrees of freedom. Thedressed-bag model for $NN$ interaction based on the formation of anintermediate six-quark bag dressed by a $\sigma$-field is applied to the $3N$system, where it results in a new three-body force between the six-quark bagand a third nucleon. Concise variational calculations of $3N$ bound states arecarried out in the dressed-bag model including the new three-body force. It isshown that this three-body force gives at least half the $3N$ total bindingenergy, while the weight of non-nucleonic components in the $^3$H and $^3$Hewavefunctions can exceed 10%. The new force model provides a very gooddescription of $3N$ bound states with a reasonable magnitude of the $\sigma NN$coupling constant. The model can serve as a natural bridge between dynamicaldescription of few-nucleon systems and the very successful Walecka approach toheavy nuclei and nuclear matter.Comment: 26 pages, Latex, 7 figure

The properties of the three-nucleon system with the dressed-bag model forNNinteraction: I. New scalar three-body force