It's rather hard to do. An amendment has to get 2/3 support in the House and the Senate, then 3/4 support in the states.
But 27 of them have been passed over the history of the US, and numerous others proposed.
List of amendments to the United States Constitution I'll now consider how the amendments might correlate with political movements, like Arthur Schlesinger's political cycles.
Supercomputer predicts revolutions by analyzing news articles - Secular Café US Party Systems - Secular Café The Bill of Rights amendments were ratified not long after the Constitution itself (1789-1791), so it falls into AS's liberal Adoption-of-Constitution era.
The 11th one, immunity of states from out-of-state lawsuits (1794-1795), was in AS's conservative Hamiltonian Federalism era.
The 12th one, revising Presidential election procedures (1803-1804), was in AS's liberal Jeffersonianism era.
The next amendments were ratified over 60 years later.
Those were the 13th one, abolishing slavery (1865-1865), the 14th one, with Equal Protection (1866-1868), and the 15th one, forbidding denial of voting rights because of race (1869-1870), are all in AS's liberal Abolition of Slavery and Reconstruction era, though trailing off into his conservative Gilded Age.
A 30-year pause until the next amendments.
The 16th one, for Federal income tax (1909-1913), the 17th, for direct election of US Senators (1912-1913), the 18th one, for prohibition of alcohol (1917-1919), and the 19th one, for women's votes (1919-1920), emerged out of AS's liberal Progressive Era, though trailing off into his conservative Republican Restoration.
The 20th one, for term starts (1932-1933), and 21th one, for repealing Prohibition (1933-1933), are at the beginning of AS's liberal New Deal era.
The 22th one, limiting the President to 2 terms (1947-1951), was in AS's conservative Eisenhower Era.
The 23th one, for DC in the Electoral College (1960-1961), the 24th one, forbidding poll taxes as a voting necessity (1962-1964), the 25th one, codifying the Presidential succession (1965-1967), and the 26th one, making the voting age 18 (1971-1971), all happened at the tail end of the Eisenhower Era and in AS's liberal Sixties Radicalism era.
The most recent one, the 27th one, states that Congressional pay changes shall only go in effect in the next term (1789-1992), and it's in what I like to call Gilded Age II, the conservative era beginning at the end of the Sixties-Radicalism era in 1978 (AS's estimate).
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Patterns? There were relatively few amendments in conservative eras, mostly near liberal eras. But the liberal eras themselves had varying amounts of Constitutional amendments.
The champions are the Abolition, Progressive, and Sixties-Radicalism eras, with 3 or 4 amendments in each. The Equal Rights Amendment (1972 - 1979 or 1982) would have been an additional Sixties-Radicalism amendment, but the cultural counterrevolution of Gilded Age II kept it from getting enough states to ratify. It got the first 30 states quickly, then the next states slowly, getting 35 out of 38 states. Another victim of Gilded Age II was the DC voting-rights amendment (1978-1985); it only got 16 states.
Curiously, the New Dealers never tried to get any of the New Deal into the Constitution.
The future?
I suspect that any new Constitutional amendments would likely be the result of yet another AS-style liberal era, an era of big reforms. Gilded Age II has so far lasted at least as long as the previous Gilded Age, with only some doubtful hints of a possible end, like the Occupy movement.