We analyze active constrained layer damping (ACLD) of functionally graded (FG) shells under a thermal environment using vertically and obliquely reinforced 1–3 piezocomposites (PZCs) and investigate the performance of PZCs as materials for the constraining layer of the ACLD treatment. The shell’s deformations are analyzed by using a modified first-order shear deformation theory and the finite e...

We propose a new 1–3 piezoelectric composite comprised of armchair single-walled carbon nanotubes imbedded in a piezoceramic matrix which we call a NRPEC (nanotube reinforced 1–3 piezoelectric composite). Values of effective piezoelectric and elastic moduli of the NRPEC determined through a micromechanical analysis are found to be significantly higher than those of the 1–3 piezoelectric composi...

We derive an effective Hamiltonian for a quantum system constrained to a submanifold ~the constraint manifold! of configuration space ~the ambient space! by an infinite restoring force. We pay special attention to how this Hamiltonian depends on quantities which are external to the constraint manifold, such as the extrinsic curvature of the constraint manifold, the curvature of the ambient spac...

We have performed a series of 10 ns Molecular Dynamics simulations of the sodium octanoate micelle in aqueous solution in the constant NpT ensemble, at p = 1 bar and T = 300 K. Two molecular topologies were studied, one with all internal degrees of freedom and the other constraining bond stretching and angle bending degrees of freedom. Two Lennard-Jones parameters for sodium ions, namely the OP...

This paper deals with the optimal control problem of systems with state linear equality constraints. For deterministic linear systems, first we find various existence conditions for constraining state feedback control and determine all constraining feedback gains, from which the optimal feedback gain is derived by using the result of singular optimal control. For systems with stochastic process...

What causes distinct trajectories of market development? Why did the modern market economy, characterized by impersonal exchange, first emerge in the West? This paper presents a theory of market development and evaluates it based on the histories of England, China, and Japan. The analysis focuses on how distinct coercion-constraining institutions that secure property rights differentially inter...

ABSTRACT: Hamiltonian and Schrödinger evolution equations on finitedimensional projective space are analyzed in detail. Hartree-Fock (HF) manifold is introduced as a submanifold of many electron projective space of states. Evolution equations, exact and linearized, on this manifold are studied. Comparison of matrices of linearized Schrödinger equations on many electron projective space and on t...

In this paper, we consider a generalized longest common subsequence problem, in which a constraining sequence of length s must be included as a substring and the other constraining sequence of length t must be excluded as a subsequence of two main sequences and the length of the result must be maximal. For the two input sequences X and Y of lengths n and m, and the given two constraining sequen...

In this paper, we consider a generalized longest common subsequence problem, in which a constraining sequence of length s must be included as a substring and the other constraining sequence of length t must be included as a subsequence of two main sequences and the length of the result must be maximal. For the two input sequences X and Y of lengths n and m, and the given two constraining sequen...